Summability of Hermite expansions. I

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
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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