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Topics in Classical Analysis and Applications in Honor of Daniel Waterman

Topics in Classical Analysis and Applications in Honor of Daniel Waterman
Author: Laura De Carli
Publisher: World Scientific
Total Pages: 202
Release: 2008
Genre: Mathematics
ISBN: 9812834435

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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.


Topics In Classical Analysis And Applications In Honor Of Daniel Waterman

Topics In Classical Analysis And Applications In Honor Of Daniel Waterman
Author: Laura De Carli
Publisher: World Scientific
Total Pages: 202
Release: 2008-10-08
Genre: Mathematics
ISBN: 9814469998

Download Topics In Classical Analysis And Applications In Honor Of Daniel Waterman Book in PDF, ePub and Kindle

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.


Recent Advances in Harmonic Analysis and Applications

Recent Advances in Harmonic Analysis and Applications
Author: Dmitriy Bilyk
Publisher: Springer Science & Business Media
Total Pages: 400
Release: 2012-10-16
Genre: Mathematics
ISBN: 1461445647

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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.


Metric Modular Spaces

Metric Modular Spaces
Author: Vyacheslav Chistyakov
Publisher: Springer
Total Pages: 148
Release: 2015-12-14
Genre: Mathematics
ISBN: 3319252836

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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.


Hardy-Littlewood and Ulyanov Inequalities

Hardy-Littlewood and Ulyanov Inequalities
Author: Yurii Kolomoitsev
Publisher: American Mathematical Society
Total Pages: 118
Release: 2021-09-24
Genre: Mathematics
ISBN: 1470447584

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Classical Groups and Related Topics

Classical Groups and Related Topics
Author: Alexander Hahn
Publisher: American Mathematical Soc.
Total Pages: 272
Release: 1989
Genre: Mathematics
ISBN: 082185089X

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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.


Statistical Analysis of Measurement Error Models and Applications

Statistical Analysis of Measurement Error Models and Applications
Author: Philip J. Brown
Publisher: American Mathematical Soc.
Total Pages: 262
Release: 1990
Genre: Mathematics
ISBN: 0821851179

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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.


Lie Algebras and Related Topics

Lie Algebras and Related Topics
Author: Georgia Benkart
Publisher: American Mathematical Soc.
Total Pages: 352
Release: 1990
Genre: Mathematics
ISBN: 0821851195

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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.


Inverse Scattering and Applications

Inverse Scattering and Applications
Author: David H. Sattinger
Publisher: American Mathematical Soc.
Total Pages: 150
Release: 1991
Genre: Mathematics
ISBN: 0821851292

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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


Fixed Point Theory and Its Applications

Fixed Point Theory and Its Applications
Author: Robert F. Brown
Publisher: American Mathematical Soc.
Total Pages: 280
Release: 1988
Genre: Mathematics
ISBN: 0821850806

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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.