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© 1988

Multiparameter Eigenvalue Problems and Expansion Theorems

  • Authors
Book

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

Table of contents

About this book

Introduction

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
  • Series Abbreviated Title Lecture Notes in Mathematics
  • DOI https://doi.org/10.1007/BFb0089295
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Softcover ISBN 978-3-540-50479-5
  • eBook ISBN 978-3-540-46015-2
  • Series ISSN 0075-8434
  • Series E-ISSN 1617-9692
  • Edition Number 1
  • Number of Pages VI, 162
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Topics Analysis
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