Title

Convolution equations in spaces of distributions with one-sided bounded support

Authors

R. Shambayati, Daemen College
Z. Zielezny, University at Buffalo, The State University of New York

Document Type

Article

Publication Source

Transactions of the American Mathematical Society

Publication Date

1985-01-01

Volume

289

Issue

2

First Page

707

Last Page

713

Abstract

Let D’’ (0, ¥)be the space of distributions on R with support in [0, ¥) and l'(0, ¥) its subspace consisting of tempered distributions. We characterize the distributions S Î D'(0, ¥) for which SD'(0, ¥) = D'(0, ¥), where is the convolution. We also characterize the distributions S Î S l'(0, ¥) for which S l’(0, ¥) = l'(0, ¥). © 1985 American Mathematical Society.

DOI

10.1090/S0002-9947-1985-0784010-7

Recommended Citation

Shambayati, R. and Zielezny, Z., "Convolution equations in spaces of distributions with one-sided bounded support" (1985). Articles & Book Chapters. 465.
https://digitalcommons.daemen.edu/faculty_scholar/465

https://doi.org/10.1090/S0002-9947-1985-0784010-7