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Synopsis
In this fully-illustrated textbook, the author examines the spectral theory of self-adjoint elliptic operators. Chapters focus on the problems of convergence and summability of spectral decompositions about the fundamental functions of elliptic operators of the second order. The author's work offers a novel method for estimation of the remainder term of a spectral function and its Riesz means without recourse to the traditional Carleman technique and Tauberian theorem apparatus.
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Synopsis
Demonstrates the efficiency of the author's novel techniques based on the mean-value theorems for regular solutions of elliptic equations with a spectral parameter. Four chapters discuss functions of the Laplace operator and its arbitrary self-adjoint nonnegative extensions, the Reisz equisummability of spectral decompositions, and the technique's
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Spectral Theory of Differential Operators: Self-Adjoint Differential Operators
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ISBN 10: 0306110377
ISBN 13: 9780306110375
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Spectral Theory of Differential Operators
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