Characterization of the Gelfand-shilov Spaces of Beurling Type and its Dual Via Short-time Fourier Transform

Authors

  • Mohd M.Yasein
  • Hamed M. Obiedat

Keywords:

Short - time Fourier transfor, Tempered Ultradistributions, Structure Theorem, Gelfand - Shilov spaces.

Abstract

We characterize Gelfand-Shilov spaces ∑βα 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  (∑βα)'. 

Key words and phrases. Short - time Fourier transfor, Tempered Ultradistributions, Structure Theorem, Gelfand - Shilov spaces.

2000 Mathematics Subject Classification. 46F05, 46F10, 46F20

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Published

2025-05-18

How to Cite

Mohd M.Yasein, & Hamed M. Obiedat. (2025). Characterization of the Gelfand-shilov Spaces of Beurling Type and its Dual Via Short-time Fourier Transform. Jordan Journal of Mathematics and Statistics, 9(1), 31–43. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1045

Issue

Vol. 9 No. 1 (2016)

Section

Articles