A Guide to Spectral Theory : Applications and Exercises

Lingua: inglese

Editore: Springer, 2022

3030674649 / 9783030674649

Serie: Libro 22 di 23 - Birkhäuser Advanced Texts Basler Lehrbücher

Da: AHA-BUCH GmbH, Einbeck, GermaniaAHA-BUCH GmbH

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Venditore AbeBooks dal 14 agosto 2006

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Druck auf Anfrage Neuware - Printed after ordering - 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.

Codice articolo 9783030674649

Titolo
A Guide to Spectral Theory : Applications and Exercises
Autore
Nicolas Raymond
Editore
Springer
Anno di pubblicazione
2022
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3030674649
ISBN 13
9783030674649
Peso dell'articolo
429 grammi
Dimensioni
235x155x16 mm
Serie
Libro 22 di 23: Birkhäuser Advanced Texts Basler Lehrbücher

AHA-BUCH GmbH

Einbeck, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 14 agosto 2006

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 30 a 40 giorni lavorativiDa 7 a 14 giorni lavorativi
Primo articoloEUR 62,15EUR 72,15
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