Thirteen papers on functional analysis and partial differential equations / by M. S. Brodski�i [and others]. Series 2, volume 47

Contributor(s): Brodskii, M. SMaterial type: Computer fileComputer fileSeries: American Mathematical Society Translations: Series 2Description: 1 online resource (1 online resource (iv, 299 pages).)ISBN: 9781470432584 (online)Subject(s): Functional analysisDifferential equations, PartialOnline resources: Click here to access online
Contents:
Integration and differentiation of functions of Hermitian operators and applications to the theory of perturbations;Reduction of nonselfadjoint operators to diagonal form;Theorems on the completeness of the system of characteristic and adjoined elements of operators having a discrete spectrum;Nonselfadjoint operators with a trace;Simplicity of isometric operators and their extensions;On triangular representations of completely continuous operators with a one-point spectrum;Boundedness of
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"Published uner Grant NSF-GN232 from the National Science Foundation"--Title page verso.

Includes bibliographical references.

Integration and differentiation of functions of Hermitian operators and applications to the theory of perturbations;Reduction of nonselfadjoint operators to diagonal form;Theorems on the completeness of the system of characteristic and adjoined elements of operators having a discrete spectrum;Nonselfadjoint operators with a trace;Simplicity of isometric operators and their extensions;On triangular representations of completely continuous operators with a one-point spectrum;Boundedness of isometric operators;Differentiation of non-hermitian matrix functions depending on a parameter;On operators with a separable spectrum;Discontinuities of the Green's function of a mixed problem for the wave equation;The principle of limiting absorption;The Boltzmann equation in the kinetic theory of gases;Boundary problems for linear and quasilinear parabolic equations

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