Garg, Rahul ; Thangavelu, Sundaram (2010) On the Hermite expansions of functions from the Hardy class Studia Mathematica, 198 . pp. 177-195. ISSN 0039-3223
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Official URL: http://journals.impan.gov.pl/sm/Inf/198-2-5.html
Related URL: http://dx.doi.org/10.4064/sm198-2-5
Abstract
Considering functions ƒ on Rn for which both ƒ and ƒ^ are bounded by the Gaussian e-½α|x|2, 0<α<1, we show that their Fourier-Hermite coefficients have exponential decay. Optimal decay is obtained for O(n)-finite functions, thus extending a one-dimensional result of Vemuri.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Institute of Mathematics of the Polish Academy of Sciences. |
| ID Code: | 64422 |
| Deposited On: | 10 Oct 2011 06:03 |
| Last Modified: | 29 Nov 2011 11:08 |
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