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Author : Minde Cheng,Dong-Gao Deng,Sheng Gong
Publisher : Unknown
Page : 324 pages
File Size : 49,8 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401101426
Author : Minde Cheng,Dong-gao Deng,Sheng Gong,Chung-Chun Yang
Publisher : Springer Science & Business Media
Page : 320 pages
File Size : 52,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401101417
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.
Author : Su Weiyi
Publisher : World Scientific
Page : 332 pages
File Size : 47,9 Mb
Release : 2017-08-17
Category : Mathematics
ISBN : 9789813200524
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.
Author : Coron Jean-michel,Li Tatsien,Wang Wei-min
Publisher : World Scientific
Page : 220 pages
File Size : 46,7 Mb
Release : 2019-08-19
Category : Science
ISBN : 9789811208386
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.
Author : Elias M. Stein
Publisher : Princeton University Press
Page : 435 pages
File Size : 52,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882090
Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger.
Author : Min-Teh Cheng,Xing-Wei Zhou,Dong-Gao Deng
Publisher : Springer
Page : 240 pages
File Size : 54,5 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540464747
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.
Author : A.J. Jerri
Publisher : Springer Science & Business Media
Page : 357 pages
File Size : 53,9 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475728477
This book represents the first attempt at a unified picture for the pres ence of the Gibbs (or Gibbs-Wilbraham) phenomenon in applications, its analysis and the different methods of filtering it out. The analysis and filtering cover the familiar Gibbs phenomenon in Fourier series and integral representations of functions with jump discontinuities. In ad dition it will include other representations, such as general orthogonal series expansions, general integral transforms, splines approximation, and continuous as well as discrete wavelet approximations. The mate rial in this book is presented in a manner accessible to upperclassmen and graduate students in science and engineering, as well as researchers who may face the Gibbs phenomenon in the varied applications that in volve the Fourier and the other approximations of functions with jump discontinuities. Those with more advanced backgrounds in analysis will find basic material, results, and motivations from which they can begin to develop deeper and more general results. We must emphasize that the aim of this book (the first on the sUbject): to satisfy such a diverse audience, is quite difficult. In particular, our detailed derivations and their illustrations for an introductory book may very well sound repeti tive to the experts in the field who are expecting a research monograph. To answer the concern of the researchers, we can only hope that this book will prove helpful as a basic reference for their research papers.
Author : Baoxiang Wang,Zhaohui Huo,Chengchun Hao,Zihua Guo
Publisher : World Scientific
Page : 300 pages
File Size : 50,9 Mb
Release : 2011-08-10
Category : Mathematics
ISBN : 9789814458399
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
Author : Jian Li,Kaigui Xie,Jianlin Hu,Qingxin Yang
Publisher : Springer Nature
Page : 1411 pages
File Size : 48,6 Mb
Release : 2023-03-31
Category : Technology & Engineering
ISBN : 9789819904518
This book gathers outstanding papers presented at the 17th Annual Conference of China Electrotechnical Society, organized by China Electrotechnical Society (CES), held in Beijing, China, from September 17 to 18, 2022. It covers topics such as electrical technology, power systems, electromagnetic emission technology, and electrical equipment. It introduces the innovative solutions that combine ideas from multiple disciplines. The book is very much helpful and useful for the researchers, engineers, practitioners, research students, and interested readers.
Author : Radu Balan,Matthew Begué,John J. Benedetto,Wojciech Czaja,Kasso A. Okoudjou
Publisher : Birkhäuser
Page : 428 pages
File Size : 45,8 Mb
Release : 2015-10-20
Category : Mathematics
ISBN : 9783319201887
This volume consists of contributions spanning a wide spectrum of harmonic analysis and its applications written by speakers at the February Fourier Talks from 2002 – 2013. Containing cutting-edge results by an impressive array of mathematicians, engineers and scientists in academia, industry and government, it will be an excellent reference for graduate students, researchers and professionals in pure and applied mathematics, physics and engineering. Topics covered include: Special Topics in Harmonic Analysis Applications and Algorithms in the Physical Sciences Gabor Theory RADAR and Communications: Design, Theory, and Applications The February Fourier Talks are held annually at the Norbert Wiener Center for Harmonic Analysis and Applications. Located at the University of Maryland, College Park, the Norbert Wiener Center provides a state-of- the-art research venue for the broad emerging area of mathematical engineering.
Author : Radomir Stankovic,Paul Leo Butzer,Ferenc Schipp,William R. Wade,Weiyi Su,Yasushi Endow,Sandor Fridli,Boris I. Golubov,Franz Pichler
Publisher : Springer
Page : 360 pages
File Size : 42,7 Mb
Release : 2015-12-29
Category : Mathematics
ISBN : 9789462391635
The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications. Considered are dyadic derivatives on Vilenkin groups and various other Abelian and finite non-Abelian groups. Since some important results were developed in former Soviet Union and China, we provide overviews of former work in these countries. Further, we present translations of three papers that were initially published in Chinese. The presentation continues with chapters written by experts in the area presenting discussions of applications of these results in specific tasks in the area of signal processing and system theory. Efficient computing of related differential operators on contemporary hardware, including graphics processing units, is also considered, which makes the methods and techniques of dyadic analysis and generalizations computationally feasible. The volume 2 of the book ends with a chapter presenting open problems pointed out by several experts in the area.
Author : Daniel Breaz,Michael Th. Rassias
Publisher : Springer Nature
Page : 538 pages
File Size : 50,9 Mb
Release : 2020-05-12
Category : Mathematics
ISBN : 9783030401207
The contributions to this volume are devoted to a discussion of state-of-the-art research and treatment of problems of a wide spectrum of areas in complex analysis ranging from pure to applied and interdisciplinary mathematical research. Topics covered include: holomorphic approximation, hypercomplex analysis, special functions of complex variables, automorphic groups, zeros of the Riemann zeta function, Gaussian multiplicative chaos, non-constant frequency decompositions, minimal kernels, one-component inner functions, power moment problems, complex dynamics, biholomorphic cryptosystems, fermionic and bosonic operators. The book will appeal to graduate students and research mathematicians as well as to physicists, engineers, and scientists, whose work is related to the topics covered.
Author : William S-Y Wang,Chaofen Sun
Publisher : Oxford University Press
Page : 792 pages
File Size : 48,5 Mb
Release : 2015-02-26
Category : Language Arts & Disciplines
ISBN : 9780190266844
The Oxford Handbook of Chinese Linguistics offers a broad and comprehensive coverage of the entire field from a multi-disciplinary perspective. All chapters are contributed by leading scholars in their respective areas. This Handbook contains eight sections: history, languages and dialects, language contact, morphology, syntax, phonetics and phonology, socio-cultural aspects and neuro-psychological aspects. It provides not only a diachronic view of how languages evolve, but also a synchronic view of how languages in contact enrich each other by borrowing new words, calquing loan translation and even developing new syntactic structures. It also accompanies traditional linguistic studies of grammar and phonology with empirical evidence from psychology and neurocognitive sciences. In addition to research on the Chinese language and its major dialect groups, this handbook covers studies on sign languages and non-Chinese languages, such as the Austronesian languages spoken in Taiwan.
Author : Alexey N. Karapetyants,Vladislav V. Kravchenko,Elijah Liflyand,Helmuth R. Malonek
Publisher : Springer Nature
Page : 585 pages
File Size : 50,5 Mb
Release : 2021-09-27
Category : Mathematics
ISBN : 9783030774936
This volume is part of the collaboration agreement between Springer and the ISAAC society. This is the first in the two-volume series originating from the 2020 activities within the international scientific conference "Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis" (OTHA), Southern Federal University in Rostov-on-Don, Russia. This volume is focused on general harmonic analysis and its numerous applications. The two volumes cover new trends and advances in several very important fields of mathematics, developed intensively over the last decade. The relevance of this topic is related to the study of complex multiparameter objects required when considering operators and objects with variable parameters.
Author : China Society of Automotive Engineers
Publisher : Springer Nature
Page : 1601 pages
File Size : 55,9 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789819702527