Title

Toward A Unified Theory Of Generalized-Functions - Convergence

Authors

Authors

P. Mikusinski;M. D. Taylor

Comments

Authors: contact us about adding a copy of your work at STARS@ucf.edu

Abbreviated Journal Title

Math. Nachr.

Keywords

Mathematics

Abstract

Generalized functions are usually treated as bounded linear functionals on spaces of test functions. Here they are considered as objects which ''convolute'' with test functions and satisfy a certain associativity condition. In this setting simple definitions are given for convergence of sequences of test functions and generalized functions, definitions which do not depend on particular properties of the space of test functions. It is shown that for the most commonly used spaces, these general definitions reduce to the standard ones.

Journal Title

Mathematische Nachrichten

Volume

161

Publication Date

1-1-1993

Document Type

Article

DOI Link

http://dx.doi.org/10.1002/mana.19931610104

Language

English

First Page

27

Last Page

43

WOS Identifier

WOS:A1993LE68100003

ISSN

0025-584X

Recommended Citation

"Toward A Unified Theory Of Generalized-Functions - Convergence" (1993). Faculty Bibliography 1990s. 852.
https://stars.library.ucf.edu/facultybib1990/852