The Césaro behaviour of distributions

Document Type

Article

Publication Date

1-1-1998

Abstract

A theory of summability for generalized functions of one real variable is presented; this theory generalizes the classical theory of summability of series and integrals. The relationship between the average behaviour of generalized functions according to this summability theory and the distributional behaviour is studied. Several applications are given. © 1998 The Royal Society.

Publication Source (Journal or Book title)

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

First Page

2425

Last Page

2443

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