Spectral Theory

Name: Spectral Theory
Brand: Springer Nature Switzerland AG
SKU: 9783030380045
Price: 62.07 EUR
Availability: InStock

Basic Concepts and Applications

Автор: David Borthwick

Език:

Корици: С меки корици

Издател: Springer Nature Switzerland AG

Наличност: Външен склад

Изпращаме след 8-11 дни

62.07 € 121.40 лв

This textbook offers a concise introduction to spectral theory, designed for newcomers to functional...

Информация за книгата

Автор

David Borthwick

Език

Английски език

Корици

Книга - С меки корици

Издадена

2021

страници

338

EAN

9783030380045

ISBN

3030380041

Enbook ID

37627496

Издател

Springer Nature Switzerland AG

Теглоt

631

Размери

155 x 235 x 15

Пълно описание

This textbook offers a concise introduction to spectral theory, designed for newcomers to functional analysis. Curating the content carefully, the author builds to a proof of the spectral theorem in the early part of the book. Subsequent chapters illustrate a variety of application areas, exploring key examples in detail. Readers looking to delve further into specialized topics will find ample references to classic and recent literature.Beginning with a brief introduction to functional analysis, the text focuses on unbounded operators and separable Hilbert spaces as the essential tools needed for the subsequent theory. A thorough discussion of the concepts of spectrum and resolvent follows, leading to a complete proof of the spectral theorem for unbounded self-adjoint operators. Applications of spectral theory to differential operators comprise the remaining four chapters. These chapters introduce the Dirichlet Laplacian operator, Schrödinger operators, operators on graphs, and the spectral theory of Riemannian manifolds.

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Spectral Theory

Basic Concepts and Applications

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