Title: Spectral Theory of Differential Operators: Self-Adjoint Differential Operators
Publisher: Springer Science+Business Media
Publication Date: 1995
Language: English
ISBN 10: 0306110377
ISBN 13: 9780306110375
Binding: Hardback
Condition: New
Weight: 870 grams

About this title

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.

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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