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  • Book
  • © 1988

Multiparameter Eigenvalue Problems and Expansion Theorems

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1356)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-VI
  2. Introduction

    • Hans Volkmer
    Pages 1-7
  3. Back Matter

    Pages 142-157

About this book

This book provides a self-contained treatment of two of the main problems of multiparameter spectral theory: the existence of eigenvalues and the expansion in series of eigenfunctions. The results are first obtained in abstract Hilbert spaces and then applied to integral operators and differential operators. Special attention is paid to various definiteness conditions which can be imposed on multiparameter eigenvalue problems. The reader is not assumed to be familiar with multiparameter spectral theory but should have some knowledge of functional analysis, in particular of Brower's degree of maps.

Keywords

  • Eigenvalue
  • Hilbert space
  • differential operator
  • functional analysis
  • integral
  • spectral theory

Bibliographic Information

  • Book Title: Multiparameter Eigenvalue Problems and Expansion Theorems

  • Authors: Hans Volkmer

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0089295

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-50479-5Published: 07 December 1988

  • eBook ISBN: 978-3-540-46015-2Published: 14 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VI, 162

  • Topics: Analysis

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions