home libri books Fumetti ebook dvd top ten sconti 0 Carrello

Torna Indietro

cheverry christophe; raymond nicolas - a guide to spectral theory

A Guide to Spectral Theory Applications and Exercises


Disponibilità: Normalmente disponibile in 10 giorni

59,98 €
56,98 €

Questo prodotto usufruisce delle SPEDIZIONI GRATIS
selezionando l'opzione Corriere Veloce in fase di ordine.

Pagabile anche con Carta della cultura giovani e del merito, 18App Bonus Cultura e Carta del Docente

Facebook Twitter Aggiungi commento

Spese Gratis


Lingua: Inglese


Pubblicazione: 05/2022
Edizione: 1st ed. 2021


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 Exercises is 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.


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.


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.

Altre Informazioni



Condizione: Nuovo
Collana: Birkhäuser Advanced Texts Basler Lehrbücher
Dimensioni: 235 x 155 mm Ø 433 gr
Formato: Brossura
Illustration Notes:XX, 258 p. 2 illus.
Pagine Arabe: 258
Pagine Romane: xx

Dicono di noi