Document Type

Article

Original Publication Date

2001

Journal/Book/Conference Title

International Journal of Mathematics and Mathematical Sciences

Volume

25

Issue

6

DOI of Original Publication

10.1155/S0161171201004252

Comments

Originally published at

http://dx.doi.org/10.1155/S0161171201004252

Date of Submission

August 2014

Abstract

We introduce a Stieltjes transform on the equivalence classes of a new generalized function which has been successfully developed by Colombeau. Subsets of rapid descent test functions, 𝒮(ℝn), as well as tempered distributions, 𝒮′(ℝn), are used to preserve Fourier analysis techniques.

Rights

Copyright © 2001 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Is Part Of

VCU Mathematics and Applied Mathematics Publications

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