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Título : Perspectives in Analysis, Geometry, and Topology : On the Occasion of the 60th Birthday of Oleg Viro Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Ilia Itenberg ; Burglind Jöricke ; Mikael Passare Editorial: Boston : Birkhäuser Boston Fecha de publicación: 2012 Colección: Progress in Mathematics num. 296 Número de páginas: XXXI, 464 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-8277-4 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Geometry Topology and on Clasificación: 51 Matemáticas Resumen: A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology was held at Stockholm University in May 2008. The choice of subjects of the Symposium and present volume was motivated by the work and mathematical interests of Oleg Viro to whom the Symposium and this volume are dedicated. As a professor of Uppsala University, Viro has made invaluable contributions to Swedish research by complementing the country's longstanding tradition in analysis with his own renowned expertise in geometry and topology. Consolidating in a single volume a major portion of the recent, impressive encounters among the fields of analysis, geometry, and topology would be too ambitious. The collection of papers in this work still should give some sense of the development of the fields and their interactions. The topics presented by leading experts in their respective fields include: algebraic geometry, in particular, real algebraic geometry, differential geometry, symplectic and contact geometry, complex analysis, three- and four-dimensional manifolds, and invariants of links. Also included in the book is the opening speech of the Symposium by Lennart Carleson on the Unity of Mathematics. Contributors: S. Akbulut K. Baker R. Berman A. Degtyarev J.-P. Demailly T. Ekholm Y. Eliashberg M. Entov J. Etnyre D. Gay G. Henkin I. Itenberg L. Kauffman K. Kaveh M. Khanevsky V. Kharlamov A. Khovanskii C. Manolescu N. Mishachev N. Mok S. Orevkov L. Polterovich P. Py N. Reshetikhin A. Shumakovitch E. Shustin A. Stipsicz C. Stroppel B. Webster C. Woodward Nota de contenido: Preface -- 1 Selman Akbulut, Exotic structures on smooth 4-manifolds -- 2 Kenneth Baker, John Etnyre, Rational linking and contact geometry -- 3 Robert Berman, Jean-Pierre Demailly, Regularity of plurisubharmonic upper envelopes in big cohomology classes -- 4 Alex Degtarev, Towards the generalized Shapiro and Shapiro conjecture.-5 Alex Degtarev, Ilia Itenberg, Viatcheslav Kharlamov, On the number of components of a complete intersection of real quadrics -- 6 Tobias Ekholm, Rational Symplectic Field Theory and linearized Legendrian contact homology -- 7 Yakov Eliashberg, N. Mishachev, Wrinkling IV: Mappings with prescribed singularities -- 8 Michael Entov, Leonid Polterovich, Pierre Py, On continuity of quasimorphisms for symplectic maps. With an appendix by Michael Khanevsky -- 9 David Gay, Andras Stipsicz, On symplectic caps -- 10 Gennadi Henkin, Cauchy-Pompeiu type formulas for a on affine algebraic Riemann surfaces and some applications.-11 Kiumars Kaveh, A. G. Khovanskii, Algebraic equations and convex bodies -- 12 Louis Kauffman, Graphical Bracket Invariants of Virtual Links -- 13 Ciprian Manolescu, Christopher Woodward, Floer homology on the extended moduli space -- 14 Ngaiming Mok, Projective-algebraicity of minimal compactifications of complex-hyperbolic space forms of finite volume -- 15 Stepan Orevkov, Some examples of real algebraic and real pseudoholomorphic curves -- 16 Nicolai Reshetikhin, Topological invariants related to quantum groups at roots of unity -- 17 Alexander Shumakovitch: Khovanov Homology Theories and Their Applications -- 18 Eugenii Shustin, Patchworking theorem for tropical curves with multiple points En línea: http://dx.doi.org/10.1007/978-0-8176-8277-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32682 Perspectives in Analysis, Geometry, and Topology : On the Occasion of the 60th Birthday of Oleg Viro [documento electrónico] / SpringerLink (Online service) ; Ilia Itenberg ; Burglind Jöricke ; Mikael Passare . - Boston : Birkhäuser Boston, 2012 . - XXXI, 464 p : online resource. - (Progress in Mathematics; 296) .
ISBN : 978-0-8176-8277-4
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Geometry Topology and on Clasificación: 51 Matemáticas Resumen: A Marcus Wallenberg Symposium on Perspectives in Analysis, Geometry, and Topology was held at Stockholm University in May 2008. The choice of subjects of the Symposium and present volume was motivated by the work and mathematical interests of Oleg Viro to whom the Symposium and this volume are dedicated. As a professor of Uppsala University, Viro has made invaluable contributions to Swedish research by complementing the country's longstanding tradition in analysis with his own renowned expertise in geometry and topology. Consolidating in a single volume a major portion of the recent, impressive encounters among the fields of analysis, geometry, and topology would be too ambitious. The collection of papers in this work still should give some sense of the development of the fields and their interactions. The topics presented by leading experts in their respective fields include: algebraic geometry, in particular, real algebraic geometry, differential geometry, symplectic and contact geometry, complex analysis, three- and four-dimensional manifolds, and invariants of links. Also included in the book is the opening speech of the Symposium by Lennart Carleson on the Unity of Mathematics. Contributors: S. Akbulut K. Baker R. Berman A. Degtyarev J.-P. Demailly T. Ekholm Y. Eliashberg M. Entov J. Etnyre D. Gay G. Henkin I. Itenberg L. Kauffman K. Kaveh M. Khanevsky V. Kharlamov A. Khovanskii C. Manolescu N. Mishachev N. Mok S. Orevkov L. Polterovich P. Py N. Reshetikhin A. Shumakovitch E. Shustin A. Stipsicz C. Stroppel B. Webster C. Woodward Nota de contenido: Preface -- 1 Selman Akbulut, Exotic structures on smooth 4-manifolds -- 2 Kenneth Baker, John Etnyre, Rational linking and contact geometry -- 3 Robert Berman, Jean-Pierre Demailly, Regularity of plurisubharmonic upper envelopes in big cohomology classes -- 4 Alex Degtarev, Towards the generalized Shapiro and Shapiro conjecture.-5 Alex Degtarev, Ilia Itenberg, Viatcheslav Kharlamov, On the number of components of a complete intersection of real quadrics -- 6 Tobias Ekholm, Rational Symplectic Field Theory and linearized Legendrian contact homology -- 7 Yakov Eliashberg, N. Mishachev, Wrinkling IV: Mappings with prescribed singularities -- 8 Michael Entov, Leonid Polterovich, Pierre Py, On continuity of quasimorphisms for symplectic maps. With an appendix by Michael Khanevsky -- 9 David Gay, Andras Stipsicz, On symplectic caps -- 10 Gennadi Henkin, Cauchy-Pompeiu type formulas for a on affine algebraic Riemann surfaces and some applications.-11 Kiumars Kaveh, A. G. Khovanskii, Algebraic equations and convex bodies -- 12 Louis Kauffman, Graphical Bracket Invariants of Virtual Links -- 13 Ciprian Manolescu, Christopher Woodward, Floer homology on the extended moduli space -- 14 Ngaiming Mok, Projective-algebraicity of minimal compactifications of complex-hyperbolic space forms of finite volume -- 15 Stepan Orevkov, Some examples of real algebraic and real pseudoholomorphic curves -- 16 Nicolai Reshetikhin, Topological invariants related to quantum groups at roots of unity -- 17 Alexander Shumakovitch: Khovanov Homology Theories and Their Applications -- 18 Eugenii Shustin, Patchworking theorem for tropical curves with multiple points En línea: http://dx.doi.org/10.1007/978-0-8176-8277-4 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32682 Ejemplares
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Título : Quantum Field Theory and Gravity : Conceptual and Mathematical Advances in the Search for a Unified Framework Tipo de documento: documento electrónico Autores: SpringerLink (Online service) ; Felix Finster ; Olaf Müller ; Marc Nardmann ; Jürgen Tolksdorf ; Eberhard Zeidler Editorial: Basel : Springer Basel Fecha de publicación: 2012 Número de páginas: XIV, 382 p Il.: online resource ISBN/ISSN/DL: 978-3-0348-0043-3 Idioma : Inglés (eng) Palabras clave: Mathematics Algebra Field theory (Physics) Global analysis (Mathematics) Manifolds Analysis and on Theory Polynomials Clasificación: 51 Matemáticas Resumen: One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area Nota de contenido: Preface -- Quantum Gravity: Whence, Whithter? (Claus Kiefer) -- Local Covariance and Background Independence (Klaus Fredenhagen, Katarzyna Rejzner) -- The "Big Wave" Theory for Dark Energy (Blake Temple).- Discrete and Continuum Third Quantization of Gravity (Steffen Gielen, Daniele Oriti) -- Unsharp Values, Domains and Topoi (Andreas Döring, Rui Soares Barbosa) -- Causal Boundary of Spacetimes: Revision and Applications to AdS/CFT Correspondence (José Luis Flores, Jónatan Herrera, Miguel Sánchez) -- Some Mathematical Aspects of the Hawking Effect for Rotating Black Holes (Dietrich Häfner) -- Observables in the General Boundary Formulation (Robert Oeckl) -- Causal Fermion Systems: A Quantum Space-Time Emerging From an Action Principle (Felix Finster, Andreas Grotz, Daniela Schiefeneder) -- CCR- Versus CAR-Quantization on Curved Spacetimes (Christian Bär, Nicolas Ginoux) -- On the Notion of 'the Same Physics in All Spacetimes' (Christopher J. Fewster) -- Local Covariance, Renormalization Ambiguity, and Local Thermal Equilibrium in Cosmology (Rainer Verch) -- Shape Dynamics. An Introduction (Julian Barbour) -- On the Motion of Point Defects in Relativistic Fields (Michael K.-H. Kiessling) -- How Unique are Higher-dimensional Black Holes? (Stefan Hollands) -- Equivalence Principle, Quantum Mechanics, and Atom-interferometric Tests (Domenico Giulini) En línea: http://dx.doi.org/10.1007/978-3-0348-0043-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32855 Quantum Field Theory and Gravity : Conceptual and Mathematical Advances in the Search for a Unified Framework [documento electrónico] / SpringerLink (Online service) ; Felix Finster ; Olaf Müller ; Marc Nardmann ; Jürgen Tolksdorf ; Eberhard Zeidler . - Basel : Springer Basel, 2012 . - XIV, 382 p : online resource.
ISBN : 978-3-0348-0043-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Algebra Field theory (Physics) Global analysis (Mathematics) Manifolds Analysis and on Theory Polynomials Clasificación: 51 Matemáticas Resumen: One of the most challenging problems of contemporary theoretical physics is the mathematically rigorous construction of a theory which describes gravitation and the other fundamental physical interactions within a common framework. The physical ideas which grew from attempts to develop such a theory require highly advanced mathematical methods and radically new physical concepts. This book presents different approaches to a rigorous unified description of quantum fields and gravity. It contains a carefully selected cross-section of lively discussions which took place in autumn 2010 at the fifth conference "Quantum field theory and gravity - Conceptual and mathematical advances in the search for a unified framework" in Regensburg, Germany. In the tradition of the other proceedings covering this series of conferences, a special feature of this book is the exposition of a wide variety of approaches, with the intention to facilitate a comparison. The book is mainly addressed to mathematicians and physicists who are interested in fundamental questions of mathematical physics. It allows the reader to obtain a broad and up-to-date overview of a fascinating active research area Nota de contenido: Preface -- Quantum Gravity: Whence, Whithter? (Claus Kiefer) -- Local Covariance and Background Independence (Klaus Fredenhagen, Katarzyna Rejzner) -- The "Big Wave" Theory for Dark Energy (Blake Temple).- Discrete and Continuum Third Quantization of Gravity (Steffen Gielen, Daniele Oriti) -- Unsharp Values, Domains and Topoi (Andreas Döring, Rui Soares Barbosa) -- Causal Boundary of Spacetimes: Revision and Applications to AdS/CFT Correspondence (José Luis Flores, Jónatan Herrera, Miguel Sánchez) -- Some Mathematical Aspects of the Hawking Effect for Rotating Black Holes (Dietrich Häfner) -- Observables in the General Boundary Formulation (Robert Oeckl) -- Causal Fermion Systems: A Quantum Space-Time Emerging From an Action Principle (Felix Finster, Andreas Grotz, Daniela Schiefeneder) -- CCR- Versus CAR-Quantization on Curved Spacetimes (Christian Bär, Nicolas Ginoux) -- On the Notion of 'the Same Physics in All Spacetimes' (Christopher J. Fewster) -- Local Covariance, Renormalization Ambiguity, and Local Thermal Equilibrium in Cosmology (Rainer Verch) -- Shape Dynamics. An Introduction (Julian Barbour) -- On the Motion of Point Defects in Relativistic Fields (Michael K.-H. Kiessling) -- How Unique are Higher-dimensional Black Holes? (Stefan Hollands) -- Equivalence Principle, Quantum Mechanics, and Atom-interferometric Tests (Domenico Giulini) En línea: http://dx.doi.org/10.1007/978-3-0348-0043-3 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=32855 Ejemplares
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Título : Differential Analysis on Complex Manifolds Tipo de documento: documento electrónico Autores: Raymond O. Wells ; SpringerLink (Online service) Editorial: New York, NY : Springer New York Fecha de publicación: 2008 Colección: Graduate Texts in Mathematics, ISSN 0072-5285 num. 65 Número de páginas: XIV, 304 p Il.: online resource ISBN/ISSN/DL: 978-0-387-73892-5 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds and on Clasificación: 51 Matemáticas Resumen: In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews Nota de contenido: Manifolds and Vector Bundles -- Sheaf Theory -- Differential Geometry -- Elliptic Operator Theory -- Compact Complex Manifolds -- Kodaira's Projective Embedding Theorem En línea: http://dx.doi.org/10.1007/978-0-387-73892-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34186 Differential Analysis on Complex Manifolds [documento electrónico] / Raymond O. Wells ; SpringerLink (Online service) . - New York, NY : Springer New York, 2008 . - XIV, 304 p : online resource. - (Graduate Texts in Mathematics, ISSN 0072-5285; 65) .
ISBN : 978-0-387-73892-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds and on Clasificación: 51 Matemáticas Resumen: In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic topology, differential geometry, and partial differential equations. Subsequent chapters then develop such topics as Hermitian exterior algebra and the Hodge *-operator, harmonic theory on compact manifolds, differential operators on a Kahler manifold, the Hodge decomposition theorem on compact Kahler manifolds, the Hodge-Riemann bilinear relations on Kahler manifolds, Griffiths's period mapping, quadratic transformations, and Kodaira's vanishing and embedding theorems. The third edition of this standard reference contains a new appendix by Oscar Garcia-Prada which gives an overview of certain developments in the field during the decades since the book first appeared. From reviews of the 2nd Edition: "..the new edition of Professor Wells' book is timely and welcome...an excellent introduction for any mathematician who suspects that complex manifold techniques may be relevant to his work." - Nigel Hitchin, Bulletin of the London Mathematical Society "Its purpose is to present the basics of analysis and geometry on compact complex manifolds, and is already one of the standard sources for this material." - Daniel M. Burns, Jr., Mathematical Reviews Nota de contenido: Manifolds and Vector Bundles -- Sheaf Theory -- Differential Geometry -- Elliptic Operator Theory -- Compact Complex Manifolds -- Kodaira's Projective Embedding Theorem En línea: http://dx.doi.org/10.1007/978-0-387-73892-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34186 Ejemplares
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Título : Differential Geometry and Analysis on CR Manifolds Tipo de documento: documento electrónico Autores: Sorin Dragomir ; SpringerLink (Online service) ; Giuseppe Tomassini Editorial: Boston, MA : Birkhäuser Boston Fecha de publicación: 2006 Colección: Progress in Mathematics num. 246 Número de páginas: XVI, 488 p Il.: online resource ISBN/ISSN/DL: 978-0-8176-4483-3 Idioma : Inglés (eng) Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Partial differential equations Functions of complex variables Differential geometry Geometry and on Equations Several Complex Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial differential equations, complex analysis in several complex variables, and differential geometry. While the PDE and complex analytic aspects have been intensely studied in the last fifty years, much effort has recently been made to understand the differential geometric side of the subject. This monograph provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy–Riemann equations. It presents the major differential geometric acheivements in the theory of CR manifolds, such as the Tanaka–Webster connection, Fefferman's metric, pseudo-Einstein structures and the Lee conjecture, CR immersions, subelliptic harmonic maps as a local manifestation of pseudoharmonic maps from a CR manifold, Yang–Mills fields on CR manifolds, to name a few. It also aims at explaining how certain results from analysis are employed in CR geometry. Motivated by clear exposition, many examples, explicitly worked-out geometric results, and stimulating unproved statements and comments referring to the most recent aspects of the theory, this monograph is suitable for researchers and graduate students in differential geometry, complex analysis, and PDEs Nota de contenido: CR Manifolds -- The Fefferman Metric -- The CR Yamabe Problem -- Pseudoharmonic Maps -- Pseudo-Einsteinian Manifolds -- Pseudo-Hermitian Immersions -- Quasiconformal Mappings -- Yang-Mills Fields on CR Manifolds -- Spectral Geometry En línea: http://dx.doi.org/10.1007/0-8176-4483-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34871 Differential Geometry and Analysis on CR Manifolds [documento electrónico] / Sorin Dragomir ; SpringerLink (Online service) ; Giuseppe Tomassini . - Boston, MA : Birkhäuser Boston, 2006 . - XVI, 488 p : online resource. - (Progress in Mathematics; 246) .
ISBN : 978-0-8176-4483-3
Idioma : Inglés (eng)
Palabras clave: Mathematics Mathematical analysis Analysis (Mathematics) Global Manifolds Partial differential equations Functions of complex variables Differential geometry Geometry and on Equations Several Complex Variables Analytic Spaces Clasificación: 51 Matemáticas Resumen: The study of CR manifolds lies at the intersection of three main mathematical disciplines: partial differential equations, complex analysis in several complex variables, and differential geometry. While the PDE and complex analytic aspects have been intensely studied in the last fifty years, much effort has recently been made to understand the differential geometric side of the subject. This monograph provides a unified presentation of several differential geometric aspects in the theory of CR manifolds and tangential Cauchy–Riemann equations. It presents the major differential geometric acheivements in the theory of CR manifolds, such as the Tanaka–Webster connection, Fefferman's metric, pseudo-Einstein structures and the Lee conjecture, CR immersions, subelliptic harmonic maps as a local manifestation of pseudoharmonic maps from a CR manifold, Yang–Mills fields on CR manifolds, to name a few. It also aims at explaining how certain results from analysis are employed in CR geometry. Motivated by clear exposition, many examples, explicitly worked-out geometric results, and stimulating unproved statements and comments referring to the most recent aspects of the theory, this monograph is suitable for researchers and graduate students in differential geometry, complex analysis, and PDEs Nota de contenido: CR Manifolds -- The Fefferman Metric -- The CR Yamabe Problem -- Pseudoharmonic Maps -- Pseudo-Einsteinian Manifolds -- Pseudo-Hermitian Immersions -- Quasiconformal Mappings -- Yang-Mills Fields on CR Manifolds -- Spectral Geometry En línea: http://dx.doi.org/10.1007/0-8176-4483-0 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=34871 Ejemplares
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Título : Global Pseudo-Differential Calculus on Euclidean Spaces Tipo de documento: documento electrónico Autores: Fabio Nicola ; SpringerLink (Online service) ; Luigi Rodino Editorial: Basel : Birkhäuser Basel Fecha de publicación: 2010 Colección: Pseudo-Differential Operators, Theory and Applications num. 4 Número de páginas: X, 306 p Il.: online resource ISBN/ISSN/DL: 978-3-7643-8512-5 Idioma : Inglés (eng) Palabras clave: Mathematics Fourier analysis Functional Global (Mathematics) Manifolds Partial differential equations Differential Equations Analysis and on Clasificación: 51 Matemáticas Resumen: This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied Nota de contenido: Background meterial -- Global Pseudo-Differential Calculus -- ?-Pseudo-Differential Operators and H-Polynomials -- G-Pseudo-Differential Operators -- Spectral Theory -- Non-Commutative Residue and Dixmier Trace -- Exponential Decay and Holomorphic Extension of Solutions En línea: http://dx.doi.org/10.1007/978-3-7643-8512-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33775 Global Pseudo-Differential Calculus on Euclidean Spaces [documento electrónico] / Fabio Nicola ; SpringerLink (Online service) ; Luigi Rodino . - Basel : Birkhäuser Basel, 2010 . - X, 306 p : online resource. - (Pseudo-Differential Operators, Theory and Applications; 4) .
ISBN : 978-3-7643-8512-5
Idioma : Inglés (eng)
Palabras clave: Mathematics Fourier analysis Functional Global (Mathematics) Manifolds Partial differential equations Differential Equations Analysis and on Clasificación: 51 Matemáticas Resumen: This book is devoted to the global pseudo-differential calculus on Euclidean spaces and its applications to geometry and mathematical physics, with emphasis on operators of linear and non-linear quantum physics and travelling waves equations. The pseudo-differential calculus presented here has an elementary character, being addressed to a large audience of scientists. It includes the standard classes with global homogeneous structures, the so-called G and gamma operators. Concerning results for the applications, a first main line is represented by spectral theory. Beside complex powers of operators and asymptotics for the counting function, particular attention is here devoted to the non-commutative residue in Euclidean spaces and the Dixmier trace. Second main line is the self-contained presentation, for the first time in a text-book form, of the problem of the holomorphic extension of the solutions of the semi-linear globally elliptic equations. Entire extensions are discussed in detail. Exponential decay is simultaneously studied Nota de contenido: Background meterial -- Global Pseudo-Differential Calculus -- ?-Pseudo-Differential Operators and H-Polynomials -- G-Pseudo-Differential Operators -- Spectral Theory -- Non-Commutative Residue and Dixmier Trace -- Exponential Decay and Holomorphic Extension of Solutions En línea: http://dx.doi.org/10.1007/978-3-7643-8512-5 Link: https://biblioteca.cunef.edu/gestion/catalogo/index.php?lvl=notice_display&id=33775 Ejemplares
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