EQUICONVERGENCE THEOREMS FOR INTEGRODIFFERENTIAL AND INTEGRAL OPERATORS

Abstract

The well-known results of Steklov, Tamarkin, and Stone on the equiconvergence of Fourier expansions in eigenfunctions and associated functions of differential operators and in a trigonometrical system for arbitrary functions from are carried over to integral operators and to integrodifferential operators of the form where is a complex number and are linear forms in and ().Bibliography: 23 titles.