Spectral Theory of Differential Operators: Self-Adjoint Differential Operators By V. A. Il'in (auth.)
1995 | 390 Pages | ISBN: 0306110377 | PDF | 9 MB
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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