Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces, J?rgen Berndt; Franco Tricerri; Lieven Vanhecke
Автор: F. Ricci; G. Weiss Название: Harmonic Analysis ISBN: 3540111883 ISBN-13(EAN): 9783540111887 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: G. Mauceri; F. Ricci; G. Weiss Название: Harmonic Analysis ISBN: 3540122990 ISBN-13(EAN): 9783540122999 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most decisive if one is able to work in the real analytic, as opposed to the smooth, setting. With this motivation, the author develops an analytic calculus for the Heisenberg group. Features include: simple, explicit formulae for products and adjoints; simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus; invariance under analytic contact transformations; regularity with respect to non-isotropic Sobolev and Lipschitz spaces; and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator.
Originally published in 1990.
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Автор: Hidenori Fujiwara; Jean Ludwig Название: Harmonic Analysis on Exponential Solvable Lie Groups ISBN: 4431552871 ISBN-13(EAN): 9784431552871 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups.
Описание: It also includes the most recent developments on other areas of mathematics including algebra and geometry.Lie group representation theory and harmonic analysis on Lie groups and on their homogeneous spaces form a significant and important area of mathematical research.
Описание: This book offers an introduction to harmonic analysis on the simplest symmetric spaces. It places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering.
Автор: F.-Y. Maeda Название: Dirichlet Integrals on Harmonic Spaces ISBN: 3540099956 ISBN-13(EAN): 9783540099956 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: R. C. Blei; S. J. Sidney Название: Banach Spaces, Harmonic Analysis, and Probability Theory ISBN: 3540123148 ISBN-13(EAN): 9783540123149 Издательство: Springer Рейтинг: Цена: 3487.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: A self-contained treatment of the representation theory of wreath products of finite groups and harmonic analysis on the corresponding homogeneous spaces. The book functions as both a useful reference for researchers, and a graduate textbook with plenty of examples and several exercises.
Автор: Hidenori Fujiwara; Jean Ludwig Название: Harmonic Analysis on Exponential Solvable Lie Groups ISBN: 4431563903 ISBN-13(EAN): 9784431563907 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the analysis on exponential solvable Lie groups.
Автор: Henrik Schlichtkrull Название: Hyperfunctions and Harmonic Analysis on Symmetric Spaces ISBN: 0817632158 ISBN-13(EAN): 9780817632151 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
This book gives an introductory exposition of the theory of hyperfunctions and regular singularities. This first English introduction to hyperfunctions brings readers to the forefront of research in the theory of harmonic analysis on symmetric spaces. A substantial bibliography is also included. This volume is based on a paper which was awarded the 1983 University of Copenhagen Gold Medal Prize.
Автор: J.-A. Chao; W.A. Woyczynski Название: Martingale Theory in Harmonic Analysis and Banach Spaces ISBN: 3540115692 ISBN-13(EAN): 9783540115694 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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