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Analytic continuation of the resolvent of a self-adjoint operator across its continuous spectrum

✍ Scribed by L. I. Dyuzhenkova; L. P. Nizhnik

Book ID: 112477725
Publisher: Springer
Year: 1969
Tongue: English
Weight: 388 KB
Volume: 20
Category: Article
ISSN: 0041-5995
DOI: 10.1007/bf01085234

No coin nor oath required. For personal study only.

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If A is a completely continuous self-adjoint operator on a Hilbert space, its eigen= values are the values of the inner product (Ax, x) at stationary points on the unit sphere. Gradient procedures can be used to determine eigenvectors and eigenvalues provided that certain regularity conditions hold