Characterization of the gelfand-shilov spaces of beurling type and its dual via short-time fourier transform

Joint Authors

Yasin, Muhammad M.
Ubaydat, Hamid M.

Source

Jordan Journal of Mathematics and Statistics

Issue

Vol. 9, Issue 1 (31 Mar. 2016), pp.31-43, 13 p.

Publisher

Yarmouk University Deanship of Research and Graduate Studies

Publication Date

2016-03-31

Country of Publication

Jordan

No. of Pages

13

Main Subjects

Mathematics

Topics

Abstract EN

We characterize Gelfand-Shilov spaces if 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 .

American Psychological Association (APA)

Yasin, Muhammad M.& Ubaydat, Hamid M.. 2016. Characterization of the gelfand-shilov spaces of beurling type and its dual via short-time fourier transform. Jordan Journal of Mathematics and Statistics،Vol. 9, no. 1, pp.31-43.
https://search.emarefa.net/detail/BIM-676923

Modern Language Association (MLA)

Yasin, Muhammad M.& Ubaydat, Hamid M.. Characterization of the gelfand-shilov spaces of beurling type and its dual via short-time fourier transform. Jordan Journal of Mathematics and Statistics Vol. 9, no. 1 (Mar. 2016), pp.31-43.
https://search.emarefa.net/detail/BIM-676923

American Medical Association (AMA)

Yasin, Muhammad M.& Ubaydat, Hamid M.. Characterization of the gelfand-shilov spaces of beurling type and its dual via short-time fourier transform. Jordan Journal of Mathematics and Statistics. 2016. Vol. 9, no. 1, pp.31-43.
https://search.emarefa.net/detail/BIM-676923

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 42-43

Record ID

BIM-676923