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Harmonic Analysis in China

  • Book
  • © 1995

Overview

Editors:
  1. Minde Cheng

    1. Department of Mathematics, Peking University, Beijing, China

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  2. Dong-gao Deng

    1. Department of Mathematics, Zhongshan University, Guangzhou, China

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    You can also search for this editor in PubMed   Google Scholar

  3. Sheng Gong

    1. Department of Mathematics, University of Science and Technology, Hefei, China

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  4. Chung-Chun Yang

    1. Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon,Hong Kong, China

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 327)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-x
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  2. On L p Estimates of the Cauchy-Riemann Equation

    • Der-Chen Chang, Charles Fefferman
    Pages 1-21

  3. Recent Progress in Hardy Spaces on Manifolds

    • Jiecheng Chen, Silei Wang
    Pages 22-54

  4. Calderon-Zygmund Operator Theory and Function Spaces

    • Deng Donggao, Y.-S. Han
    Pages 55-79

  5. Hp Theory on Compact Lie Groups

    • Dashan Fan
    Pages 80-102

  6. The Unitary Dual of the Covering Groups of GL(n) over a Local Field

    • Jing-Song Huang
    Pages 103-124

  7. Casimir Operator and Wavelet Transform

    • Qingtang Jiang, Lizhong Peng
    Pages 125-134

  8. Oscillatory Singular Integrals with Rough Kernel

    • Yinsheng Jiang, Shanzhen Lu
    Pages 135-145

  9. The Minimal Decay of Matrix Coefficients for Classical Groups

    • Jian-Shu Li
    Pages 146-169

  10. Application of Harmonic Analysis in Geophysics

    • Li Shi-xiong
    Pages 170-182

  11. Bivariate Box-Spline Wavelets

    • X. Z. Liang, G. R. Jin, H. L. Chen
    Pages 183-196

  12. On Martingale Spaces and Inequalities

    • R. Long
    Pages 197-209

  13. Uniform Weak (1,1) Bounds for Oscillatory Singular Integrals

    • Yibiao Pan
    Pages 210-219

  14. Paracommutators and Hankel Operators

    • Lizhong Peng
    Pages 220-239

  15. Operators-Derivatives-Spaces-Differential Equations on Locally Compact Vilenkin Groups

    • Su Weiyi
    Pages 240-255

  16. On Selfsimilarity of Functions

    • Zheng Weixing
    Pages 256-265

  17. Harmornic Analysis on Compact Lie Groups and Compact Homogeneous Spaces in China

    • Xue-An Zheng
    Pages 266-286

  18. Harmonic Analysis on Bounded Symmetric Domains

    • Kehe Zhu
    Pages 287-307

  19. Back Matter

    Pages 309-310
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Keywords

About this book

Harmonic Analysis in China is a collection of surveys and research papers written by distinguished Chinese mathematicians from within the People's Republic of China and expatriates.
The book covers topics in analytic function spaces of several complex variables, integral transforms, harmonic analysis on classical Lie groups and manifolds, LP- estimates of the Cauchy-Riemann equations and wavelet transforms.
The reader will also be able to trace the great influence of the late Professor Loo-keng Hua's ideas and methods on research into harmonic analysis on classical domains and the theory of functions of several complex variables. Western scientists will thus become acquainted with the unique features and future trends of harmonic analysis in China.
Audience: Analysts, as well as engineers and physicists who use harmonic analysis.

Editors and Affiliations

  • Department of Mathematics, Peking University, Beijing, China

    Minde Cheng

  • Department of Mathematics, Zhongshan University, Guangzhou, China

    Dong-gao Deng

  • Department of Mathematics, University of Science and Technology, Hefei, China

    Sheng Gong

  • Department of Mathematics, The Hong Kong University of Science and Technology, Kowloon,Hong Kong, China

    Chung-Chun Yang

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