Thangavelu, S. (1993) Hermite expansions on Rn for radial functions Proceedings of the American Mathematical Society, 118 (4). pp. 1097-1102. ISSN 0002-9939
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Official URL: http://www.ams.org/journals/proc/1993-118-04/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9939-1993-1137236-7
Abstract
It is proved that the Riesz means SδRƒ, δ > 0, for the Hermite expansions on Rn, n ≥ 2, satisfy the uniform estimates ║SδRƒ║p ≤ C║ƒ║p for all radial functions if and only if p lies in the interval 2n/(n + 1 + 2δ) < p < 2n/(n - 1 - 2δ).
| Item Type: | Article |
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| Source: | Copyright of this article belongs to American Mathematical Society. |
| ID Code: | 64393 |
| Deposited On: | 10 Oct 2011 05:51 |
| Last Modified: | 18 May 2016 12:50 |
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