Title

Boehmians and pseudoquotients

Authors

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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