Thangavelu, S. (1989) Summability of Hermite expansions. I Transactions of the American Mathematical Society, 314 . pp. 119-142. 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/S0002-9947-1989-99923-2
Abstract
We study the summability of one-dimensional Hermite expansions.We prove that the critical index for the Riesz summability is 1/6 . We also prove analogues of the Fejer-Lebesgue theorem and Riemann's localisation principle.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to American Mathematical Society. |
| Keywords: | Hermite Expansion; Summability; Riesz Means; Oscillatory Integrals |
| ID Code: | 53601 |
| Deposited On: | 09 Aug 2011 11:37 |
| Last Modified: | 18 May 2016 06:40 |
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