Summability of Hermite expansions. II-Reference-Cited by-同舟云学术

Summability of Hermite expansions. II

Published:1989 Issue:1 Volume:314 Page:143-170
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Thangavelu S.

Abstract

We study the summability of n n -dimensional Hermite expansions where n > 1 n > 1 . We prove that the critical index for the Riesz summability is ( n − 1 ) / 2 (n - 1)/2 . We also prove analogues of the Fejér-Lebesgue theorem and Riemann’s localisation principle when the index α \alpha of the Riesz means is > ( 3 n − 2 ) / 6 > (3n - 2)/6 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1989-314-01/S0002-9947-1989-0958904-7/S0002-9947-1989-0958904-7.pdf

Reference3 articles.

1. Almost everywhere summability on nilmanifolds;Hulanicki, Andrzej;Trans. Amer. Math. Soc.,1983

2. Mean convergence of Hermite and Laguerre series. I, II;Muckenhoupt, Benjamin;Trans. Amer. Math. Soc. 147 (1970), 419-431; ibid.,1970

3. Summability of Hermite expansions. I, II;Thangavelu, S.;Trans. Amer. Math. Soc.,1989

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