Radha, R. ; Thangavelu, S. (2009) Holomorphic sobolev spaces, hermite and special hermite semigroups and a Paley-Wiener theorem for the windowed fourier transform Journal of Mathematical Analysis and Applications, 354 (2). pp. 564-574. ISSN 0022-247X
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Official URL: http://www.sciencedirect.com/science/article/pii/S...
Related URL: http://dx.doi.org/10.1016/j.jmaa.2009.01.021
Abstract
The images of Hermite and Laguerre-Sobolev spaces under the Hermite and special Hermite semigroups (respectively) are characterized. These are used to characterize the image of Schwartz class of rapidly decreasing functions f on Rn and Cn under these semigroups. The image of the space of tempered distributions is also considered and a Paley-Wiener theorem for the windowed (short-time) Fourier transform is proved.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| Keywords: | Bargmann Transform; Hermite Functions; Hermite Semigroup; Special Hermite Functions; Short Term Fourier Transform; Sobolev Space |
| ID Code: | 53604 |
| Deposited On: | 09 Aug 2011 11:42 |
| Last Modified: | 09 Aug 2011 11:42 |
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