Thangavelu, S. (1989) Summability of Hermite expansions. II Transactions of the American Mathematical Society, 314 (1). pp. 143-170. ISSN 0002-9947
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Official URL: http://www.ams.org/journals/tran/1989-314-01/S0002...
Related URL: http://dx.doi.org/10.1090/S0002-9947-1989-0958904-7
Abstract
We study the summability of n-dimensional Hermite expansions where n > 1. We prove that the critical index for the Riesz summability is (n - 1)/2. We also prove analogues of the Fejér-Lebesgue theorem and Riemann's localisation principle when the index α of the Riesz means is > (3n - 2)/6.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Hermite Expansion; Summability; Riesz Means; Oscillatory Integrals |
| ID Code: | 64411 |
| Deposited On: | 10 Oct 2011 05:46 |
| Last Modified: | 18 May 2016 12:51 |
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