A Topological Characterization of the Beurling-Björck Space 𝔖𝜔 Using the Short-Time Fourier Transform

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Abstract

In this article, we will use a previously obtained topological characterization of the Beurling-Björck Space, to prove a topological characterization via the short-time Fourier transform. Our work builds on recent work by K. Gröchenig and G. Zimmermann.

Keywords

Schwartz space , Beurling-Björck Space , Short-time Fourier transform , ultradistributions
  • Hamed M. Obiedat Department of Mathematics, Alhashemite University P.O. Box 150459, Zarqa, Jordan.
  • Pages: 33-45
  • Date Published: 2006-08-01
  • Vol. 8 No. 2 (2006): CUBO, A Mathematical Journal

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Published

2006-08-01

How to Cite

[1]
H. M. Obiedat, “A Topological Characterization of the Beurling-Björck Space 𝔖𝜔 Using the Short-Time Fourier Transform”, CUBO, vol. 8, no. 2, pp. 33–45, Aug. 2006.