Boehmians and pseudoquotients

    Authors

    P. Mikusinski

    Comments

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    Abbreviated Journal Title

    Appl. Math. Inf. Sci.

    Keywords

    Mikusinski operators; regular operators; Boehmians; pseudoquotients; tempered distributions; Bochner Theorem; GENERALIZED-FUNCTIONS; FOURIER-TRANSFORM; RADON-TRANSFORM; Mathematics, Applied; Physics, Mathematical

    Abstract

    We consider the algebraic constructions of Boehmians and pseudoquotients, explain the motivation for these ideas, describe early developments and later modifications, and indicate some of their applications. While the majority of applications are in the area of generalized functions and generalized integral transforms, some recent developments suggest that Boehmians and pseudoquotients can provide useful and versatile tools for constructing new objects in other areas of mathematics.

    Journal Title

    Applied Mathematics & Information Sciences

    Volume

    5

    Issue/Number

    2

    Publication Date

    1-1-2011

    Document Type

    Article

    Language

    English

    First Page

    192

    Last Page

    204

    WOS Identifier

    WOS:000297532100003

    ISSN

    2325-0399

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