Vol. 110, No. 1, 1984

Recent Issues
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
A class of surjective convolution operators

Wojciech Abramczuk

Vol. 110 (1984), No. 1, 1–7
Abstract

Let μ be a distribution with compact support in Rn. In the terminology of Ehrenpreis [2] μ is called invertible for a space of distributions in Rn if μ∗ℱ = . Using his characterisation of invertible distributions in terms of the growth of their Fourier transforms, we obtain a class of invertible distributions which properly contains the distributions with finite supports. We consider = (or 𝒟′) and = 𝒟F, but our results for the latter space are only partial.

Mathematical Subject Classification 2000
Primary: 46F10
Secondary: 47B99
Milestones
Received: 7 April 1982
Published: 1 January 1984
Authors
Wojciech Abramczuk