Ebook: Harmonic Analysis in China

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.

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Content:
Front Matter....Pages i-x
On L p Estimates of the Cauchy-Riemann Equation....Pages 1-21
Recent Progress in Hardy Spaces on Manifolds....Pages 22-54
Calderon-Zygmund Operator Theory and Function Spaces....Pages 55-79
Hp Theory on Compact Lie Groups....Pages 80-102
The Unitary Dual of the Covering Groups of GL(n) over a Local Field....Pages 103-124
Casimir Operator and Wavelet Transform....Pages 125-134
Oscillatory Singular Integrals with Rough Kernel....Pages 135-145
The Minimal Decay of Matrix Coefficients for Classical Groups....Pages 146-169
Application of Harmonic Analysis in Geophysics....Pages 170-182
Bivariate Box-Spline Wavelets....Pages 183-196
On Martingale Spaces and Inequalities....Pages 197-209
Uniform Weak (1,1) Bounds for Oscillatory Singular Integrals....Pages 210-219
Paracommutators and Hankel Operators....Pages 220-239
Operators-Derivatives-Spaces-Differential Equations on Locally Compact Vilenkin Groups....Pages 240-255
On Selfsimilarity of Functions....Pages 256-265
Harmornic Analysis on Compact Lie Groups and Compact Homogeneous Spaces in China....Pages 266-286
Harmonic Analysis on Bounded Symmetric Domains....Pages 287-307
Back Matter....Pages 309-310

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Content:
Front Matter....Pages i-x
On L p Estimates of the Cauchy-Riemann Equation....Pages 1-21
Recent Progress in Hardy Spaces on Manifolds....Pages 22-54
Calderon-Zygmund Operator Theory and Function Spaces....Pages 55-79
Hp Theory on Compact Lie Groups....Pages 80-102
The Unitary Dual of the Covering Groups of GL(n) over a Local Field....Pages 103-124
Casimir Operator and Wavelet Transform....Pages 125-134
Oscillatory Singular Integrals with Rough Kernel....Pages 135-145
The Minimal Decay of Matrix Coefficients for Classical Groups....Pages 146-169
Application of Harmonic Analysis in Geophysics....Pages 170-182
Bivariate Box-Spline Wavelets....Pages 183-196
On Martingale Spaces and Inequalities....Pages 197-209
Uniform Weak (1,1) Bounds for Oscillatory Singular Integrals....Pages 210-219
Paracommutators and Hankel Operators....Pages 220-239
Operators-Derivatives-Spaces-Differential Equations on Locally Compact Vilenkin Groups....Pages 240-255
On Selfsimilarity of Functions....Pages 256-265
Harmornic Analysis on Compact Lie Groups and Compact Homogeneous Spaces in China....Pages 266-286
Harmonic Analysis on Bounded Symmetric Domains....Pages 287-307
Back Matter....Pages 309-310
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