An edition of Perturbation theory of eigenvalue problems (1954)

Perturbation theory of eigenvalue problems.

Research in the field of perturbation theory and linear operators

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Cover of: Perturbation theory of eigenvalue problems. by F. Rellich, F. Rellich
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October 5, 2011 | History
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An edition of Perturbation theory of eigenvalue problems (1954)

Perturbation theory of eigenvalue problems.

Research in the field of perturbation theory and linear operators

by

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Publish Date
Publisher
Courant Institute of Mathematical Sciences, New York University
Language
English
Pages
164

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Cover of: Perturbation Theory of Eigenvalue Problems
Perturbation Theory of Eigenvalue Problems
2018, Creative Media Partners, LLC
in English
Cover of: Perturbation theory of eigenvalue problems.
Perturbation theory of eigenvalue problems.: Research in the field of perturbation theory and linear operators
1954, Courant Institute of Mathematical Sciences, New York University
in English

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Book Details

Table of Contents

Introduction
Page 4
1. A small perturbation parameter does not mean a small perturbation
Page 4
2. A term of second order in the perturbation parameter cannot always be neglected in comparison with the first order term
Page 30
3. Smallness of the perturbation term means smallness in comparison to the unperturbed operator
Page 34
4. The character of the perturbation may depend on the sign of the perturbation parameter (String with small stiffness)
Page 36
5. Non-analytic perturbation
Page 50
Chapter I. Finite Dimensional Space
Page 74
1. If the operator is a convergent power series in the perturbation parameter, then so are the eigenvalues and eigenvectors
Page 74
2. Several analytic parameters
Page 96
3. Non-analytic perturbation
Page 102
4. The least eigenvalue is a convex function of a linear perturbation parameter
Page 112
5. Differentlable dependence on the perturbation parameter
Page 114
Chapter II. Perturbation of the Discrete Spectrum
Page 142
1. Power series In Hilbert Space
Page 142
2. Perturbation of an isolated eigenvalue of finite multiplicity of a bounded operator
Page 154
3. Essentially self-adjoint, and self-adjoint, operators
Page 172
4. Closeable operators
Page 180
5. Regular (not necessarily bounded) operators
Page 190
6. Examples and more criteria
Page 208
7. The inequality c \int r^{-4} { u}^2 d\tau \leq \int {\Delta u}^2 d\tau
Page 244
8. Hermitian forms
Page 270
9. A criterion for regularity involving forms instead of operators
Page 296
10. Are the perturbed eigenfunctions complete?
Page 302
Appendix
Page 322
Bibliography
Page 328

Edition Notes

Published in
New York

The Physical Object

Pagination
viii,164 p.
Number of pages
164

Edition Identifiers

Open Library
OL23325166M
Internet Archive
perturbationtheo00rell

Work Identifiers

Work ID
OL13793236W

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October 5, 2011 Edited by 143.233.227.239 adding a table of contents (fix)
October 5, 2011 Edited by 143.233.227.239 adding a table of contents (fix)
October 5, 2011 Edited by 143.233.227.239 adding a table of contents
October 5, 2011 Edited by 143.233.227.239 Edited without comment.
June 2, 2009 Created by ImportBot Imported from Internet Archive item record