paper

Fourier characterizations of Pilipovic spaces

arXiv:2203.04859

Abstract

Let be a function or distribution on $\rr d$. We show that belongs to a certain Pilipovi{ć} space, if and only if and suitable partial fractional Fourier transforms of satisfy certain types of estimates.

15 pages. This is the first version. It is expected that some revisions will be performed in the future