Toward A Unified Theory Of Generalized-Functions - Convergence

    Authors

    P. Mikusinski;M. D. Taylor

    Comments

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    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

    Language

    English

    First Page

    27

    Last Page

    43

    WOS Identifier

    WOS:A1993LE68100003

    ISSN

    0025-584X

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