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