STRUCTURE OF (\(w_{1}, w_{2}\))-TEMPERED ULTRADISTRIBUTION USING SHORT-TIME FOURIER

Authors

  • Hamed M. Obiedat Hashemite University - Department of Mathematics
  • Ibraheem Abu-falahah Hashemite University - Department of Mathematics

Keywords:

short-time Fourier transform, tempered ultradistributions, structure theorem

Abstract

We characterize the space \(\mathfrak{S}\)\(_{w_{1}, w_{2}}\) of test functions of (\(w_{1}, w_{2}\))−tempered ultradistribution in terms of their short-time Fourier transform.  As a result of this characterization and using Riesz representation theorem, we characterize the space (\(w_{1}, w_{2}\))−tempered ultradistribution.

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Published

2018-02-28

How to Cite

Obiedat, H. M., & Abu-falahah, I. (2018). STRUCTURE OF (\(w_{1}, w_{2}\))-TEMPERED ULTRADISTRIBUTION USING SHORT-TIME FOURIER. Italian Journal of Pure and Applied Mathematics, 39, 154–164. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6941

Issue

Section

Articoli - Forum Editrice

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