Harmonic Analysis in China

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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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, L^P- 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.

• Derivative
• Minimum
• Singular integral
• analytic function
• calculus
• differential equation
• harmonic analysis
• integral transform
• operator theory

• 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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