Titlebook: Spectral Theory of Self-Adjoint Operators in Hilbert Space; M. S. Birman,M. Z. Solomjak Book 1987 D. Reidel Publishing Company, Dordrecht,

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Decongestant

Some Applications of Spectral Theory,The remaining part of the book is actually devoted to applications of spectral theory. In this section we mainly consider applications to differential equations. The only exception is Section 1 which deals with the polar decomposition of an operator.

SPECT

Perturbation Theory,In the spectrum σ of a self-adjoint operator we have extracted the point spectrum and the continuous spectrum. In some questions of perturbation theory a fairly different partition of the spectrum into subsets is more convenient.

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DEFT

Spectral Theory of Self-Adjoint Operators in Hilbert Space978-94-009-4586-9Series ISSN 0169-6378

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Spectral Measure. Integration,ts and to construct a simple model for operators under consideration (see Chapter 7). Spectral resolution also permits us to con­struct a functional calculus for an operator. All these questions are of great importance both in the general theory and in applications.