Title of article :
CHARACTERIZATION OF THE GELFAND-SHILOV SPACES OF BEURLING TYPE AND ITS DUAL VIA SHORT-TIME FOURIER TRANSFORM
Author/Authors :
YASEIN, MOHD M Hashemite University - Department of Mathematics, Jordan , OBIEDAT, HAMED M. Hashemite University - Department of Mathematics, Jordan , OBIEDAT, HAMED M. New Mexico State University - Department of Mathematical Sciences, USA
Abstract :
We characterize Gelfand-Shilov spaces ∑β α of test functions of tempered ultradistribution, in terms of their short-time Fourier transform using its symmetric characterization via the Fourier transform. Using Riesz representation theorem, we prove structure theorem for functionals in dual space (∑β α)0 .
Journal title :
Jordan Journal Of Mathematics and Statistics
Journal title :
Jordan Journal Of Mathematics and Statistics
