Distributions of finite order as a space of pseudoquotients

    Authors

    J. Burzyk;P. Mikusinski

    Comments

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    Abbreviated Journal Title

    Integral Transform. Spec. Funct.

    Keywords

    pseudoquotients; distributions of finite order; tempered distributions; fractional integrals; Mathematics, Applied; Mathematics

    Abstract

    In this paper we study the relationship between pseudoquotients constructed from the space of continuous functions on the real line and Schwartz distributions. We show that the space of pseudoquotients can be identified with the space of distributions of finite order, but the isomorphism is not unique.

    Journal Title

    Integral Transforms and Special Functions

    Volume

    25

    Issue/Number

    4

    Publication Date

    1-1-2014

    Document Type

    Article

    Language

    English

    First Page

    318

    Last Page

    323

    WOS Identifier

    WOS:000330757800006

    ISSN

    1065-2469

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