A Guide to Spectral Theory: Applications and Exercises - Couverture souple

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Cheverry, Christophe ; Raymond, Nicolas

9783030674649: A Guide to Spectral Theory: Applications and Exercises

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ISBN 10 : 3030674649 ISBN 13 : 9783030674649

Editeur : Birkh�user, 2022

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Foreword.- Prolegomena.- Chapter 1: A First Look at Spectral Theory.- Chapter 2: Unbounded Operators.- Chapter 3: Spectrum .- Chapter 4: Compact Operators.- Chapter 5: Fredholm Theory.- Chapter 6: Spectrum of Self-Adjoint Operators.- Chapter 7: Hille-Yosida and Stone's Theorems.- Chapter 8: About the Spectral Measure.- Chapter 9: Trace-class and Hilbert-Schmidt Operators.- Chapter 10: Selected Applications of the Functional Calculus.- Appendix A: Reminders of Functional Analysis.- Bibliography.- Index.

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� propos de l?auteur

Christophe Cheverry is a mathematics professor at the University of Rennes 1. He works in the area of analysis, partial differential equations, and mathematical physics. Nicolas Raymond is a mathematics professor at the University of Angers. His research is focused on semiclassical spectral theory and partial differential equations.

Les informations fournies dans la section � A propos du livre � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Birkh�user
Date d'�dition: 2022
Langue: anglais
ISBN 10: 3030674649
ISBN 13: 9783030674649
Reliure: Broch�
Nombre de pages: 280
Coordonn�es du fabricant: non disponible
Personne responsable: non disponible

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9783030674618: A Guide to Spectral Theory: Applications and Exercises

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ISBN 10 : 3030674614 ISBN 13 : 9783030674618
Editeur : Springer Nature Switzerland AG, 2021
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A Guide to Spectral Theory: Applications and Exercises (Birkh�user Advanced Texts Basler Lehrb�cher)

Cheverry, Christophe; Raymond, Nicolas

Edit� par Birkh�user, 2022

ISBN 10 : 3030674649 ISBN 13 : 9783030674649

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A Guide to Spectral Theory: Applications and Exercises (Birkh�user Advanced Texts Basler Lehrb�cher)

Cheverry, Christophe; Raymond, Nicolas

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ISBN 10 : 3030674649 ISBN 13 : 9783030674649

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A Guide to Spectral Theory: Applications and Exercises (Birkh�user Advanced Texts Basler Lehrb�cher)

Cheverry, Christophe; Raymond, Nicolas

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ISBN 10 : 3030674649 ISBN 13 : 9783030674649

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A Guide to Spectral Theory : Applications and Exercises

Cheverry, Christophe

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ISBN 10 : 3030674649 ISBN 13 : 9783030674649

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A Guide to Spectral Theory

Nicolas Raymond

Edit� par Springer International Publishing Mai 2022, 2022

ISBN 10 : 3030674649 ISBN 13 : 9783030674649

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students alike will also appreciate the exploration of more advanced applications and research perspectives presented near the end of the book.Beginning with a brief introduction to the relationship between spectral theory and quantum physics, the authors go on to explore unbounded operators, analyzing closed, adjoint, and self-adjoint operators. Next, the spectrum of a closed operator is defined and the fundamental properties of Fredholm operators are introduced. The authors then develop the Grushin method to execute the spectral analysis of compact operators. The chapters that follow are devoted to examining Hille-Yoshida and Stone theorems, the spectral analysis of self-adjoint operators, and trace-class and Hilbert-Schmidt operators. The final chapter opens the discussion to several selected applications. Throughout this textbook, detailed proofs are given, and the statements are illustrated by a number of well-chosen examples. At the end, an appendix about foundational functional analysis theorems is provided to help the uninitiated reader.A Guide to Spectral Theory: Applications and Exercisesis intended for graduate students taking an introductory course in spectral theory or operator theory. A background in linear functional analysis and partial differential equations is assumed; basic knowledge of bounded linear operators is useful but not required. PhD students and researchers will also find this volume to be of interest, particularly the research directions provided in later chapters. 280 pp. Englisch. N� de r�f. du vendeur 9783030674649

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