The discrete version of Calderón reproducing formula

碩士 === 國立中央大學 === 數學研究所 === 96 === 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 Calde...

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Bibliographic Details
Main Authors: Chang-sheng Kuan, 官長昇
Other Authors: Ming-Yi Lee
Format: Others
Language:zh-TW
Published: 2008
Online Access:http://ndltd.ncl.edu.tw/handle/b689vv
Description
Summary:碩士 === 國立中央大學 === 數學研究所 === 96 === 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.