Title

Toward A Unified Theory Of Generalized Functions: Convergence

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. Copyright © 1993 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim

Publication Date

1-1-1993

Publication Title

Mathematische Nachrichten

Volume

161

Issue

1

Number of Pages

27-43

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1002/mana.19931610104

Socpus ID

84985329915 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84985329915

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