Perturbation Theory of Eigenvalue Problems: Lectures Delivered Fall 1953 |
Contents
A term of second order in the perturbation parameter | 14 |
The character of the perturbation may depend | 17 |
Nonanalytic perturbation | 24 |
14 other sections not shown
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Common terms and phrases
1817 LIBRARIES adjoint analytic functions B₂ belonging boundary conditions bounded operator cach CHIGAN closeable cluster points complex number continuous first derivatives continuous functions convergent for small convergent power series corresponding eigenfunction Criterion cxists d₂ defined differential equation eigenelement eigenfunction eigenvalue equation eigenvalue problem eigenvectors essentially self-adjoint exists a sequence F₁ finite multiplicity Friedrichs extension hence Hermitian extension Hermitian form Hermitian matrix Hermitian operator Hilbert space hypermaximal inequality inner product integral lɛl lim llu lim u(x linear operator MICHIGAN multiplicity h neighborhood of ɛ norm lull obtain operator A(e P₁ permutation perturbation parameter perturbed operator piecewise continuous point eigenvalues positive number prime factors prove real ɛ real number regular analytic functions Rellich satisfy self-adjoint operators set of numbers small lel solution subspace Suppose trivial extension unperturbed v,Au vector whore zero