Hermite expansions on R(N) for radial functions

Thangavelu, S (1993) Hermite expansions on R(N) for radial functions. In: Proceedings of the American Mathematical Society, 118 (4). pp. 1097-1102.

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Abstract

It is proved that the Riesz means S(R)(delta)f, delta > 0, for the Hermite expansions on R(n), n greater-than-or-equal-to 2, satisfy the uniform estimates \\S(R)(delta)f\\p less-than-or-equal-to C \\f\\p for all radial functions if and only if p lies in the interval 2n/(n + 1 + 2delta) < p < 2n/(n - 1 - 2delta).

Item Type:	Journal Article
Publication:	Proceedings of the American Mathematical Society
Publisher:	American Mathematical Society
Additional Information:	Copyright of this article belongs to American Mathematical Society.
Department/Centre:	Division of Physical & Mathematical Sciences > Mathematics
Date Deposited:	26 Apr 2011 10:35
Last Modified:	15 Oct 2018 10:13
URI:	http://eprints.iisc.ac.in/id/eprint/35487

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