The Calderón Reproducing Formula Associated with the Heisenberg GroupHd-Reference-Cited by-同舟云学术

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The Calderón Reproducing Formula Associated with the Heisenberg GroupHd

Published:2010 Issue: Volume:2010 Page:1-12
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Xiao Jinsen¹,He Jianxun¹

Affiliation:

1. Department of Mathematics, School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006, China

Abstract

We establish the Calderón reproducing formula for functions inL2on the Heisenberg groupHd. Also, we develop this formula inLp(Hd)with1<p<∞.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2010/132186.pdf

Reference19 articles.

1. Calderon reproducing formula associated with the Gegenbauer operator on the half-line

2. Inhomogeneous discrete calderón reproducing formulas for spaces of homogeneous type

3. Pointwise analysis of Riemann's ?nondifferentiable? function

4. The Calderón reproducing formula, windowed X-ray transforms, and radon transforms in LP-spaces

5. CBMS-NSF Regional Conference Series in Applied Mathematics,1992

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