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Harmonic Analysis In China

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Harmonic Analysis In China

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Author : Minde Cheng
language : en
Publisher:
Release Date : 2014-01-15

Harmonic Analysis In China written by Minde Cheng and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.

Harmonic Analysis In China

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Author : Minde Cheng
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Harmonic Analysis In China written by Minde Cheng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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.

Harmonic Analysis

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Author : Min-Teh Cheng
language : en
Publisher: Springer
Release Date : 2006-11-14

Harmonic Analysis written by Min-Teh Cheng and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.

All papers in this volume are original (fully refereed) research reports by participants of the special program on Harmonic Analysis held in the Nankai Institute of Mathematics. The main themes include: Wavelets, Singular Integral Operators, Extemal Functions, H Spaces, Harmonic Analysis on Local Domains and Lie Groups, and so on. See also :G. David "Wavelets and Singular Integrals on Curves and Surfaces", LNM 1465,1991. FROM THE CONTENTS: D.C. Chang: Nankai Lecture in -Neumann Problem.- T.P. Chen, D.Z. Zhang: Oscillary Integral with Polynomial Phase.- D.G. Deng, Y.S. Han: On a Generalized Paraproduct Defined by Non-Convolution.- Y.S. Han: H Boundedness of Calderon-Zygmund Operators for Product Domains.- Z.X. Liu, S.Z. Lu: Applications of H|rmander Multiplier Theorem to Approximation in Real Hardy Spaces.- R.L. Long, F.S. Nie: Weighted Sobolev Inequality and Eigenvalue Estimates of Schr|dinger Operator.- A. McIntosh, Q. Tao: Convolution Singular Integral Operators on Lipschitz Curves.- Z.Y. Wen, L.M.Wu, Y.P. Zhang: Set of Zeros of Harmonic Functions of Two Variables.- C.K. Yuan: On the Structures of Locally Compact Groups Admitting Inner Invariant Means.

Harmonic Analysis And Wave Equations

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Author : Coron Jean-michel
language : en
Publisher: World Scientific
Release Date : 2019-08-19

Harmonic Analysis And Wave Equations written by Coron Jean-michel and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-19 with Science categories.

This book is a collection of lecture notes for the LIASFMA School and Workshop on 'Harmonic Analysis and Wave Equations' which was held on May 8-18, 2017 at Fudan University, in Shanghai, China. The aim of the LIASFMA School and Workshop is to bring together Chinese and French experts to discuss and dissect recent progress in these related fields; and to disseminate state of art, new knowledge and new concepts, to graduate students and junior researchers.The book provides the readers with a unique and valuable opportunity to learn from and communicate with leading experts in nonlinear wave-type equations. The readers will witness the major development with the introduction of modern harmonic analysis and related techniques.

Harmonic Analysis

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Author : Min-Teh Cheng
language : en
Publisher: Springer
Release Date : 1991-12-13

Harmonic Analysis written by Min-Teh Cheng and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-12-13 with Mathematics categories.

Harmonic Analysis Method For Nonlinear Evolution Equations I

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Author : Baoxiang Wang
language : en
Publisher: World Scientific
Release Date : 2011-08-10

Harmonic Analysis Method For Nonlinear Evolution Equations I written by Baoxiang Wang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-10 with Mathematics categories.

This monograph provides a comprehensive overview on a class of nonlinear evolution equations, such as nonlinear Schrödinger equations, nonlinear Klein–Gordon equations, KdV equations as well as Navier–Stokes equations and Boltzmann equations. The global wellposedness to the Cauchy problem for those equations is systematically studied by using the harmonic analysis methods. This book is self-contained and may also be used as an advanced textbook by graduate students in analysis and PDE subjects and even ambitious undergraduate students. Contents:Fourier Multiplier, Function Spaces Xsp,qNavier–Stokes EquationStrichartz Estimates for Linear Dispersive EquationsLocal and Global Wellposedness for Nonlinear Dispersive EquationsThe Low Regularity Theory for the Nonlinear Dispersive EquationsFrequency-Uniform Decomposition TechniquesConservations, Morawetz' Estimates of Nonlinear Schrödinger EquationsBoltzmann Equation without Angular Cutoff Readership: Graduate students and researchers interested in analysis and PDE. Keywords:Nonlinear Dispersive Equation;Harmonic Analysis MethodKey Features:From PDE point of view, this book gives a self-contained introduction to the theory of function spaces including Besov, modulation and Triebel–Lizorkin spacesThe main topics are concentrated in four kinds of important equations, nonlinear Schrödinger, Navier–Stokes, KdV and Boltzmann equationsThis monograph is a unique treatment of the frequency-uniform localization techniques for nonlinear evolution equationsReviews: "The book under review is well and clearly written and pleasant to read. It is aimed at advanced graduate students; hence, familiarity with basic topics in measure theory, real analysis, complex analysis, functional analysis, etc., is assumed on the part of the reader. Those mathematicians who wish to learn harmonic analysis methods used in PDEs, and who wish to enter into this active area of research, will surely find this book interesting. The book also contains a reasonably large bibliography." Mathematical Reviews

An Introduction To Harmonic Analysis

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Author : Y.·卡茨纳尔森 (美)
language : en
Publisher:
Release Date : 2005

An Introduction To Harmonic Analysis written by Y.·卡茨纳尔森 (美) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Harmonic analysis categories.

本书从经典傅里叶分析的清晰表述入手,旨在用一个具体的构架展示调和分析中心思想。作者在确立这些思想之后,转向扩展和分析,使之远远超越圆群的范围,并通过在实线上讨论傅里叶变换以及在局部紧阿贝尔群上对傅里叶分析的简单考察,打开通向其他领域的大门.

Harmonic Analysis And Fractal Analysis Over Local Fields And Applications

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Author : Su Weiyi
language : en
Publisher: World Scientific
Release Date : 2017-08-17

Harmonic Analysis And Fractal Analysis Over Local Fields And Applications written by Su Weiyi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-17 with Mathematics categories.

This book is a monograph on harmonic analysis and fractal analysis over local fields. It can also be used as lecture notes/textbook or as recommended reading for courses on modern harmonic and fractal analysis. It is as reliable as Fourier Analysis on Local Fields published in 1975 which is regarded as the first monograph in this research field.The book is self-contained, with wide scope and deep knowledge, taking modern mathematics (such as modern algebra, point set topology, functional analysis, distribution theory, and so on) as bases. Specially, fractal analysis is studied in the viewpoint of local fields, and fractal calculus is established by pseudo-differential operators over local fields. A frame of fractal PDE is constructed based on fractal calculus instead of classical calculus. On the other hand, the author does his best to make those difficult concepts accessible to readers, illustrate clear comparison between harmonic analysis on Euclidean spaces and that on local fields, and at the same time provide motivations underlying the new concepts and techniques. Overall, it is a high quality, up to date and valuable book for interested readers.

Wavelet Analysis

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Author : Ding-Xuan Zhou
language : en
Publisher: World Scientific
Release Date : 2002

Wavelet Analysis written by Ding-Xuan Zhou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Computers categories.

The International Conference of Computational Harmonic Analysis, held in Hong Kong during the period of June 4 OCo 8, 2001, brought together mathematicians and engineers interested in the computational aspects of harmonic analysis. Plenary speakers include W Dahmen, R Q Jia, P W Jones, K S Lau, S L Lee, S Smale, J Smoller, G Strang, M Vetterlli, and M V Wickerhauser. The central theme was wavelet analysis in the broadest sense, covering time-frequency and time-scale analysis, filter banks, fast numerical computations, spline methods, multiscale algorithms, approximation theory, signal processing, and a great variety of applications.This proceedings volume contains sixteen papers from the lectures given by plenary and invited speakers. These include expository articles surveying various aspects of the twenty-year development of wavelet analysis, and original research papers reflecting the wide range of research topics of current interest."

Harmonic Analysis And Its Applications

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Author : 晶彦·宮地
language : en
Publisher:
Release Date : 2006-01

Harmonic Analysis And Its Applications written by 晶彦·宮地 and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01 with Harmonic analysis categories.

Harmonic Analysis In China

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