| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4591850 | Journal of Functional Analysis | 2010 | 26 Pages |
Abstract
We consider convolution equations of the type f∗T=g, where f,g∈Lp(Rn) and T is a compactly supported distribution. Under natural assumptions on the zero set of the Fourier transform of T, we show that f is compactly supported, provided g is. Similar results are proved for non-compact symmetric spaces as well.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
