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Author : Anonim
Publisher : Unknown
Page : 128 pages
File Size : 52,7 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9789814469999
Author : Laura De Carli,Kazaros Kazarian,Mario Milman
Publisher : World Scientific
Page : 202 pages
File Size : 43,6 Mb
Release : 2008
Category : Mathematics
ISBN : 9789812834430
This book covers a wide range of topics, from orthogonal polynomials to wavelets. It contains several high-quality research papers by prominent experts exploring trends in function theory, orthogonal polynomials, Fourier series, approximation theory, theory of wavelets and applications. The book provides an up-to-date presentation of several important topics in Classical and Modern Analysis. The interested reader will also be able to find stimulating open problems and suggestions for future research. Book jacket.
Author : Dmitriy Bilyk,Laura De Carli,Alexander Petukhov,Alexander M. Stokolos,Brett D. Wick
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 45,6 Mb
Release : 2012-10-16
Category : Mathematics
ISBN : 9781461445647
Recent Advances in Harmonic Analysis and Applications features selected contributions from the AMS conference which took place at Georgia Southern University, Statesboro in 2011 in honor of Professor Konstantin Oskolkov's 65th birthday. The contributions are based on two special sessions, namely "Harmonic Analysis and Applications" and "Sparse Data Representations and Applications." Topics covered range from Banach space geometry to classical harmonic analysis and partial differential equations. Survey and expository articles by leading experts in their corresponding fields are included, and the volume also features selected high quality papers exploring new results and trends in Muckenhoupt-Sawyer theory, orthogonal polynomials, trigonometric series, approximation theory, Bellman functions and applications in differential equations. Graduate students and researchers in analysis will be particularly interested in the articles which emphasize remarkable connections between analysis and analytic number theory. The readers will learn about recent mathematical developments and directions for future work in the unexpected and surprising interaction between abstract problems in additive number theory and experimentally discovered optical phenomena in physics. This book will be useful for number theorists, harmonic analysts, algorithmists in multi-dimensional signal processing and experts in physics and partial differential equations.
Author : Yurii Kolomoitsev,Sergey Tikhonov
Publisher : American Mathematical Society
Page : 118 pages
File Size : 41,9 Mb
Release : 2021-09-24
Category : Mathematics
ISBN : 9781470447588
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Author : Vyacheslav Chistyakov
Publisher : Springer
Page : 137 pages
File Size : 40,7 Mb
Release : 2015-12-14
Category : Mathematics
ISBN : 9783319252834
Aimed toward researchers and graduate students familiar with elements of functional analysis, linear algebra, and general topology; this book contains a general study of modulars, modular spaces, and metric modular spaces. Modulars may be thought of as generalized velocity fields and serve two important purposes: generate metric spaces in a unified manner and provide a weaker convergence, the modular convergence, whose topology is non-metrizable in general. Metric modular spaces are extensions of metric spaces, metric linear spaces, and classical modular linear spaces. The topics covered include the classification of modulars, metrizability of modular spaces, modular transforms and duality between modular spaces, metric and modular topologies. Applications illustrated in this book include: the description of superposition operators acting in modular spaces, the existence of regular selections of set-valued mappings, new interpretations of spaces of Lipschitzian and absolutely continuous mappings, the existence of solutions to ordinary differential equations in Banach spaces with rapidly varying right-hand sides.
Author : Alexander Hahn,Donald G. James,Zhexian Wan
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 42,6 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821850893
During his lifetime, L. K. Hua played a leading role in and exerted a great influence upon the development in China of modern mathematics, both pure and applied. His mathematical career began in 1931 at Tsinghua University where he continued as a professor for many years. Hua made many significant contributions to number theory, algebra, geometry, complex analysis, numerical analysis, and operations research. In particular, he initiated the study of classical groups in China and developed new matrix methods which, as applied by him as well as his followers, were instrumental in the successful attack of many problems. To honor his memory, a joint China-U.S. conference on Classical Groups and Related Topics was held at Tsinghua University in Beijing in May 1987. This volume represents the proceedings of that conference and contains both survey articles and research papers focusing on classical groups and closely related topics.
Author : Philip J. Brown,Wayne A. Fuller,American Mathematical Society
Publisher : American Mathematical Soc.
Page : 262 pages
File Size : 43,7 Mb
Release : 1990
Category : Mathematics
ISBN : 9780821851173
Measurement error models describe functional relationships among variables observed, subject to random errors of measurement. This book treats general aspects of the measurement problem and features a discussion of the history of measurement error models.
Author : Georgia Benkart,J. Marshall Osborn
Publisher : American Mathematical Soc.
Page : 352 pages
File Size : 45,8 Mb
Release : 1990
Category : Mathematics
ISBN : 9780821851197
Discusses the problem of determining the finite-dimensional simple Lie algebras over an algebraically closed field of characteristic $p>7$. This book includes topics such as Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and Kac-Moody and Virasoro algebras.
Author : David H. Sattinger
Publisher : American Mathematical Soc.
Page : 150 pages
File Size : 45,8 Mb
Release : 1991
Category : Mathematics
ISBN : 9780821851296
This book presents papers given at a Conference on Inverse Scattering on the Line, held in June 1990 at the University of Massachusetts, Amherst. A wide variety of topics in inverse problems were covered: inverse scattering problems on the line; inverse problems in higher dimensions; inverse conductivity problems; and numerical methods. In addition, problems from statistical physics were covered, including monodromy problems, quantum inverse scattering, and the Bethe ansatz. One of the aims of the conference was to bring together researchers in a variety of areas of inverse problems which have seen intensive activity in recent years. scattering
Author : Robert F. Brown
Publisher : American Mathematical Soc.
Page : 280 pages
File Size : 54,9 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821850800
Represents the proceedings of an informal three-day seminar held during the International Congress of Mathematicians in Berkeley in 1986. This work covers topics including topological fixed point theory from both the algebraic and geometric viewpoints, and the fixed point theory of nonlinear operators on normed linear spaces and its applications.
Author : Yuan Wang,Chung-Chun Yang
Publisher : American Mathematical Soc.
Page : 170 pages
File Size : 47,5 Mb
Release : 1988
Category : Mathematics
ISBN : 9780821850848
Of all modern mathematical forms, number theory is one of the earliest to be explored in China and is the one to which the Chinese have made their greatest contributions. Yan Wu-zhi first introduced number theory into China in the 1920s. Particularly influential in the field was Hua Loo-keng, who studied with G. H. Hardy and made significant contributions in the areas estimating complete exponential sums, Waring's problems, Tarry's problems, and Vinogradov's method. Interest in number theory continued to flourish following the founding of the People's Republic of China. The most noted accomplishments by Chinese mathematicians were focused on the solution of Goldbach's Conjecture and on the sieve method. Although the Cultural Revolution interrupted research in number theory for more than 10 years, the field is now growing in China.A number of universities now have advanced programs in the subject and a wide variety of topics, including the applications of number theory. This volume contains nine survey articles and three articles on current research. The collection emphasizes the accomplishments of Chinese number theorists during 1949-1979, a period when correspondence between China and other countries was discouraged. The collection is intended not only to survey the significant contributions of Chinese mathematicians, but also to reflect the latest developments and current state of research in number theory in China.
Author : Shijian Yan,Chung-Chun Yang,Jiagang Wang
Publisher : American Mathematical Soc.
Page : 352 pages
File Size : 46,9 Mb
Release : 1991
Category : Mathematics
ISBN : 9780821851265
Probability theory has always been an active field of research in China, but, until recently, almost all of this research was written in Chinese. This book contains surveys by some of China's leading probabilists, with a fairly complete coverage of theoretical probability and selective coverage of applied topics. The purpose of the book is to provide an account of the most significant results in probability obtained in China in the past few decades and to promote communication between probabilists in China and those in other countries. This collection will be of interest to graduate students and researchers in mathematics and probability theory, as well as to researchers in such areas as physics, engineering, biochemistry, and information science. Among the topics covered here are: stochastic analysis, stochastic differential equations, Dirichlet forms, Brownian motion and diffusion, potential theory, geometry of manifolds, semi-martingales, jump Markov processes, interacting particle systems, entropy production of Markov processes, renewal sequences and p-functions, multi-parameter stochastic processes, stationary random fields, limit theorems, strong approximations, large deviations, stochastic control systems, and probability problems in information theory.
Author : Darrell Haile,James Osterburg
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 41,6 Mb
Release : 1992
Category : Mathematics
ISBN : 9780821851326
This volume contains the proceedings of a conference in honor of Goro Azumaya's seventieth birhtday, held at Indiana University in Bloomington in May 1990. Professor Azumaya, who has been on the faculty at Indiana University since 1968, has made many important contributions to modern abstract algebra. His introduction and investigation of what have come to be known as Azumaya algebras subsequently stimulated much research on such rings and algebras, as well as applications to geometry and number theory. In addition to honoring Professor Azumaya's contributions, the conference was intended to stimulate interaction among three areas of his research interests: Azumaya algebras, group and Hopf algebra actions, and module theory. Aimed at researchers in algebra, this volume contains contributions by some of the leaders in these areas.
Author : Dorothy Maharam-Stone,R. Daniel Mauldin,Rae Michael Shortt,César Ernesto Silva
Publisher : American Mathematical Soc.
Page : 326 pages
File Size : 46,9 Mb
Release : 1989
Category : Mathematics
ISBN : 9780821850992
Dorothy Maharam Stone's (1917-) contributions to operators and measure algebras has had a profound influence on this area of research. Her career, which has spanned nearly half a century, includes 40 research publications, some of them as recent as 1987. A Ph.D. student of Anna Pell Wheeler at Bryn Mawr College, Stone has been an active force in mathematics research and various professional activities.This volume contains the proceedings of the Conference on Measure and Measurable Dynamics, held in honor of Stone at the University of Rochester in September 1987. The papers in this collection represent contributions from some of the top experts in this field. Stone's work is surveyed in a number of articles which highlight her foundational results concerning positive operators, the characterization of homo-geneous measure algebras, and disintegrations. In addition, there are research papers in ergodic theory, measure theory, descriptive set theory, and the dynamics of measurable maps. A number of the results in these papers are directly related to Stone's work.
Author : M. Isaacs
Publisher : American Mathematical Soc.
Page : 392 pages
File Size : 44,9 Mb
Release : 1989
Category : Computers
ISBN : 9780821850985
Dedicated to the memory of the Soviet mathematician S D Berman (1922-1987), this work covers topics including Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions.