Random Walks and Discrete Potential Theory

Author: M. Picardello,W. Woess
Publisher: Cambridge University Press
ISBN: 9780521773126
Category: Mathematics
Page: 361
View: 5857

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Comprehensive and interdisciplinary text covering the interplay between random walks and structure theory.

Trends in Harmonic Analysis

Author: Massimo A. Picardello
Publisher: Springer Science & Business Media
ISBN: 8847028531
Category: Mathematics
Page: 448
View: 394

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This book illustrates the wide range of research subjects developed by the Italian research group in harmonic analysis, originally started by Alessandro Figà-Talamanca, to whom it is dedicated in the occasion of his retirement. In particular, it outlines some of the impressive ramifications of the mathematical developments that began when Figà-Talamanca brought the study of harmonic analysis to Italy; the research group that he nurtured has now expanded to cover many areas. Therefore the book is addressed not only to experts in harmonic analysis, summability of Fourier series and singular integrals, but also in potential theory, symmetric spaces, analysis and partial differential equations on Riemannian manifolds, analysis on graphs, trees, buildings and discrete groups, Lie groups and Lie algebras, and even in far-reaching applications as for instance cellular automata and signal processing (low-discrepancy sampling, Gaussian noise).

Analytic, Algebraic and Geometric Aspects of Differential Equations

Będlewo, Poland, September 2015
Author: Galina Filipuk,Yoshishige Haraoka,Sławomir Michalik
Publisher: Birkhäuser
ISBN: 3319528424
Category: Mathematics
Page: 471
View: 9533

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This volume consists of invited lecture notes, survey papers and original research papers from the AAGADE school and conference held in Będlewo, Poland in September 2015. The contributions provide an overview of the current level of interaction between algebra, geometry and analysis and demonstrate the manifold aspects of the theory of ordinary and partial differential equations, while also pointing out the highly fruitful interrelations between those aspects. These interactions continue to yield new developments, not only in the theory of differential equations but also in several related areas of mathematics and physics such as differential geometry, representation theory, number theory and mathematical physics. The main goal of the volume is to introduce basic concepts, techniques, detailed and illustrative examples and theorems (in a manner suitable for non-specialists), and to present recent developments in the field, together with open problems for more advanced and experienced readers. It will be of interest to graduate students, early-career researchers and specialists in analysis, geometry, algebra and related areas, as well as anyone interested in learning new methods and techniques.

Operator Algebras and Operator Theory

International Conference on Operator Algebras and Operator Theory, July 4-9, 1997, Shanghai, China
Author: Liming Ge
Publisher: American Mathematical Soc.
ISBN: 0821810936
Category: Mathematics
Page: 389
View: 2589

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This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered in this title were $C^*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.

Modern Theory of Dynamical Systems: A Tribute to Dmitry Victorovich Anosov

Author: Anatole Katok,Yakov Pesin,Federico Rodriguez Hertz
Publisher: American Mathematical Soc.
ISBN: 1470425602
Category: Boundary value problems
Page: 320
View: 1789

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This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.

Issues in General and Specialized Mathematics Research: 2011 Edition

Author: N.A
Publisher: ScholarlyEditions
ISBN: 1464964920
Category: Mathematics
Page: 862
View: 7570

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Issues in General and Specialized Mathematics Research: 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about General and Specialized Mathematics Research. The editors have built Issues in General and Specialized Mathematics Research: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about General and Specialized Mathematics Research in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in General and Specialized Mathematics Research: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.