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Title: | Generalized Hermite expansions of functions arising from Hardy conditions |
Authors: | Parui, Sanjay |
Keywords: | Uncertainty principles Dunkl transform |
Issue Date: | 1-Apr-2013 |
Publisher: | Advances in Pure and Applied Mathematics |
Citation: | Parui, S. (2013). Generalized Hermite expansions of functions arising from Hardy conditions. Advances in Pure and Applied Mathematics, 4(1). |
Abstract: | Consider a function f on RN which is O(N)-finite. Assume that both f and its Dunkl Fourier transform Dk(f) are bounded by e-1/2alxl2 for some 0 < a < 1. We will show that the generalized Hermite coefficients off f will have exponential decay. |
URI: | https://doi.org/10.1515/apam-2013-0205 http://idr.niser.ac.in:8080/jspui/handle/123456789/1181 |
Appears in Collections: | Journal Papers |
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