ALMOST EVERYWHERE CONVERGENCE OF LAGUERRE SERIES

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28042

Title:	ALMOST EVERYWHERE CONVERGENCE OF LAGUERRE SERIES
Authors:	CHEN,CP;LIN,CC
Contributors:	數學研究所
Keywords:	SUMMABILITY METHODS;MEAN CONVERGENCE;HERMITE
Date:	1994
Issue Date:	2010-06-29 19:40:48 (UTC+8)
Publisher:	中央大學
Abstract:	Let a is-an-element-of Z+ and f is-an-element-of L(p)(R+), 1 less-than-or-equal-to p less-than-or-equal-to infinity. Denote by c(j) the inner product of f and the Laguerre function L(j)a. We prove that if {c(j)} satisfies [GRAPHICS] for some k is-an-element-of N, then the Laguerre series SIGMA c(j)L(j)a converges to f almost everywhere.
Relation:	STUDIA MATHEMATICA
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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