離散型Calderon表示定理; The discrete version of Calderon reproducing formula

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/7914

Title:	離散型Calderon表示定理;The discrete version of Calderon reproducing formula
Authors:	官長昇;Chang-sheng Kuan
Contributors:	數學研究所
Keywords:	離散型Calderó;n;Calderó;n reproducing formula
Date:	2008-06-06
Issue Date:	2009-09-22 11:08:56 (UTC+8)
Publisher:	國立中央大學圖書館
Abstract:	連續型Calderón表示定理已被證明出可於 L^2 以及點態下成立，我們將在本篇論文證明出離散型Calderón表示定理也可於 L^2 及點態下成立，更進一步，ω 為 A_2 權時，更可在 L^2_ω 下成立。 The continuous version of Calderón reproducing formula converges in L^2 and converges pointwise on R^n . In this article, we prove three theorems. (i) the discrete version of Calderón reproducing formula converges in L^2 ; (ii) the discrete version of Calderón reproducing formula converges pointwise on R^n; (iii) the discrete version of Calderón reproducing formula converges in L^2_ω where ω is A_2.
Appears in Collections:	[Graduate Institute of Mathematics] Electronic Thesis & Dissertation

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