Perturbation theory of eigenvalue problems.
Subtitle: Research in the field of perturbation theory and linear operators
Publisher: Courant Institute of Mathematical Sciences, New York University
Published: 1954
Place of publication: New York
Language: eng
Number of pages: 164
Table of contents: title: Introduction
pagenum: 4; label: 1
pagenum: 4
title: A small perturbation parameter does not mean a small perturbation; label: 2
pagenum: 30
title: A term of second order in the perturbation parameter cannot always be neglected in comparison with the first order term; label: 3
pagenum: 34
title: Smallness of the perturbation term means smallness in comparison to the unperturbed operator; label: 4
pagenum: 36
title: The character of the perturbation may depend on the sign of the perturbation parameter (String with small stiffness); label: 5
pagenum: 50
title: Non-analytic perturbation; label: Chapter I
pagenum: 74
title: Finite Dimensional Space; label: 1
pagenum: 74
title: If the operator is a convergent power series in the perturbation parameter, then so are the eigenvalues and eigenvectors; label: 2
pagenum: 96
title: Several analytic parameters; label: 3
pagenum: 102
title: Non-analytic perturbation; label: 4
pagenum: 112
title: The least eigenvalue is a convex function of a linear perturbation parameter; label: 5
pagenum: 114
title: Differentlable dependence on the perturbation parameter; label: Chapter II
pagenum: 142
title: Perturbation of the Discrete Spectrum; label: 1
pagenum: 142
title: Power series In Hilbert Space; label: 2
pagenum: 154
title: Perturbation of an isolated eigenvalue of finite multiplicity of a bounded operator; label: 3
pagenum: 172
title: Essentially self-adjoint, and self-adjoint, operators; label: 4
pagenum: 180
title: Closeable operators; label: 5
pagenum: 190
title: Regular (not necessarily bounded) operators; label: 6
pagenum: 208
title: Examples and more criteria; label: 7
pagenum: 244
title: The inequality c \int r^{-4} { u}^2 d\tau \leq  \int {\Delta u}^2 d\tau; label: 8
pagenum: 270
title: Hermitian forms; label: 9
pagenum: 296
title: A criterion for regularity involving forms instead  of operators; label: 10
pagenum: 302
title: Are the perturbed eigenfunctions complete?; title: Appendix
pagenum: 322; title: Bibliography
pagenum: 328