Multiparameter Eigenvalue Problems and Expansion Theorems

  • Authors
  • Hans┬áVolkmer

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

  • DOI https://doi.org/10.1007/BFb0089295
  • Copyright Information Springer-Verlag Berlin Heidelberg 1988
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-50479-5
  • Online ISBN 978-3-540-46015-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book