Spectral Theory

Name: Spectral Theory
Brand: Springer Nature Switzerland AG
SKU: 9783030380045
Price: 22593 HUF
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Basic Concepts and Applications

Szerző: David Borthwick

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer Nature Switzerland AG

Elérhetőség: Beszállítói készleten

Küldés 8-11 napon belül

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

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Szerző

David Borthwick

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2021

oldal

338

EAN

9783030380045

ISBN

3030380041

Enbook ID

37627496

Kiadó

Springer Nature Switzerland AG

Súly

631

Méretek

155 x 235 x 15

Teljes leírás

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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