On the basis of Hua Loo-Kengs results on harmonic analysis on classical groups, the author Gong Sheng develops his subject further, drawing together results of his own research as well as works from other Chinese mathematicians. The book is divided into three parts studying harmonic analysis of various groups. Starting with the discussion on unitary groups in part one, the author moves on to rotation groups and unitary symplectic groups in parts 2 and 3. Thus the book provides a survey of harmonic analysis on characteristic manifold of classical domain of first type for real fields, complex fields and quaternion fields. This study will appeal to a wide range of readers from senior mathematics students up to graduate students and to teachers in this field of mathematics.

Harmonic Analysis on Classical Groups

Science & Math

Sheng Gong

Mathematics

Springer, Verlag

The Bieberbach Conjecture (AMS/IP STUDIES IN ADVANCED MATHEMATICS)

In 1919, Bieberbach posed a seemingly simple conjecture. That "simple" conjecture challenged mathematicians in complex analysis for the following 68 years! In that time, a huge number of papers discussing the conjecture and its related problems were inspired. Finally in 1984, de Branges completed the solution. In 1989, Professor Gong wrote and published a short book in Chinese, The Bieberbach Conjecture, outlining the history of the related problems and de Branges' proof. The present volume is the English translation of that Chinese edition with modifications by the author. In particular, he includes results related to several complex variables. Open problems and a large number of new mathematical results motivated by the Bieberbach conjecture are included. Completion of a standard one-year graduate complex analysis course will prepare the reader for understanding the book. It would make a nice supplementary text for a topics course at the advanced undergraduate or graduate level. Titles in this series are co-published with International Press, Cambridge, MA.

The Bieberbach Conjecture (AMS/IP Studies in Advanced Mathematics) (Ams/Ip Studies in Advanced Mathematics, 12)

American Mathematical Society

This monograph collects the works of the author and his colleagues in singular intervals of several complex variables since 1964. A brief description of the Cauchy-Fantappie kernals and Szego kernels is given as a preliminary in the introduction to the book.

Integrals of Cauchy Type on the Ball (Series in Analysis)

International Press of Boston

The papers contained in this book address problems in one and several complex variables. The main theme is the extension of geometric function theory methods and theorems to several complex variables. The papers present various results on the growth of mappings in various classes as well as observations about the boundary behavior of mappings, via developing and using some semi group methods.

GEOMETRIC FUNCTION THEORY IN SEVERAL COMPLEX VARIABLES, PROCEEDINGS OF A SATELLITE CONFERENCE TO THE INT'L CONGRESS OF MATHEMATICIANS IN BEIJING 2002

FitzGerald, Carl H.

World Scientific Publishing Company

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Books by Sheng Gong

See the best price to sell, buy, or rent books by Sheng Gong. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Harmonic Analysis on Classical Groups

The Bieberbach Conjecture (AMS/IP Studies in Advanced Mathematics) (Ams/Ip Studies in Advanced Mathematics, 12)

Integrals of Cauchy Type on the Ball (Series in Analysis)

GEOMETRIC FUNCTION THEORY IN SEVERAL COMPLEX VARIABLES, PROCEEDINGS OF A SATELLITE CONFERENCE TO THE INT'L CONGRESS OF MATHEMATICIANS IN BEIJING 2002