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Spectral Theory of Differential Operators

Self-Adjoint Differential Operators

  • Book
  • © 1995

Overview

Authors:
  1. V. A. Il’in

    1. Moscow State University, Moscow, Russia

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Table of contents (4 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Expansion in the Fundamental System of Functions of the Laplace Operator

    • V. A. Il’in
    Pages 1-81

  3. Spectral Decompositions Corresponding to an Arbitrary Self-Adjoint Nonnegative Extension of the Laplace Operator

    • V. A. Il’in
    Pages 83-196

  4. On the Riesz Equisummability of Spectral Decompositions in the Classical and the Generalized Sense

    • V. A. Il’in
    Pages 197-252

  5. Self-Adjoint Nonnegative Extensions of an Elliptic Operator of Second Order

    • V. A. Il’in
    Pages 253-349

  6. Back Matter

    Pages 351-390
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Keywords

About this book

In this fully-illustrated textbook, the author examines the spectral theory of self-adjoint elliptic operators. Chapters focus on the problems of convergence and summability of spectral decompositions about the fundamental functions of elliptic operators of the second order. The author's work offers a novel method for estimation of the remainder term of a spectral function and its Riesz means without recourse to the traditional Carleman technique and Tauberian theorem apparatus.

Authors and Affiliations

  • Moscow State University, Moscow, Russia

    V. A. Il’in

Bibliographic Information

  • Book Title: Spectral Theory of Differential Operators

  • Book Subtitle: Self-Adjoint Differential Operators

  • Authors: V. A. Il’in

  • DOI: https://doi.org/10.1007/978-1-4615-1755-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Consultants Bureau, New York 1995

  • Hardcover ISBN: 978-0-306-11037-5Published: 31 August 1995

  • eBook ISBN: 978-1-4615-1755-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XII, 390

  • Topics: Ordinary Differential Equations

  • Industry Sectors: Energy, Utilities & Environment, IT & Software

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