Download or read book Topics in Almost Everywhere Convergence written by Andriano M. Garsia and published by Wadsworth Publishing Company. This book was released on 1970-01-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Almost Everywhere Convergence II written by Alexandra Bellow and published by Academic Press. This book was released on 2014-05-10 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Almost Everywhere Convergence II presents the proceedings of the Second International Conference on Almost Everywhere Convergence in Probability and Ergodotic Theory, held in Evanston, Illinois on October 16–20, 1989. This book discusses the many remarkable developments in almost everywhere convergence. Organized into 19 chapters, this compilation of papers begins with an overview of a generalization of the almost sure central limit theorem as it relates to logarithmic density. This text then discusses Hopf's ergodic theorem for particles with different velocities. Other chapters consider the notion of a log–convex set of random variables, and proved a general almost sure convergence theorem for sequences of log–convex sets. This book discusses as well the maximal inequalities and rearrangements, showing the connections between harmonic analysis and ergodic theory. The final chapter deals with the similarities of the proofs of ergodic and martingale theorems. This book is a valuable resource for mathematicians.
Download or read book Topics in Harmonic Analysis and Ergodic Theory written by Joseph Rosenblatt and published by American Mathematical Soc.. This book was released on 2007 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are strong connections between harmonic analysis and ergodic theory. A recent example of this interaction is the proof of the spectacular result by Terence Tao and Ben Green that the set of prime numbers contains arbitrarily long arithmetic progressions. This text presents a series of essays on the topic.
Download or read book Convergence in Ergodic Theory and Probability written by Vitaly Bergelson and published by Walter de Gruyter. This book was released on 2011-06-15 with total page 461 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.
Download or read book Topics in Spectral Geometry written by Michael Levitin and published by American Mathematical Society. This book was released on 2023-11-30 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is remarkable that various distinct physical phenomena, such as wave propagation, heat diffusion, electron movement in quantum mechanics, oscillations of fluid in a container, can be described using the same differential operator, the Laplacian. Spectral data (i.e., eigenvalues and eigenfunctions) of the Laplacian depend in a subtle way on the geometry of the underlying object, e.g., a Euclidean domain or a Riemannian manifold, on which the operator is defined. This dependence, or, rather, the interplay between the geometry and the spectrum, is the main subject of spectral geometry. Its roots can be traced to Ernst Chladni's experiments with vibrating plates, Lord Rayleigh's theory of sound, and Mark Kac's celebrated question “Can one hear the shape of a drum?” In the second half of the twentieth century spectral geometry emerged as a separate branch of geometric analysis. Nowadays it is a rapidly developing area of mathematics, with close connections to other fields, such as differential geometry, mathematical physics, partial differential equations, number theory, dynamical systems, and numerical analysis. This book can be used for a graduate or an advanced undergraduate course on spectral geometry, starting from the basics but at the same time covering some of the exciting recent developments which can be explained without too many prerequisites.
Download or read book Almost everywhere convergence written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topics in Analysis and Its Applications written by Ronald R. Coifman and published by World Scientific. This book was released on 2000 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains five theses in analysis, by A C Gilbert, N Saito, W Schlag, T Tao and C M Thiele. It covers a broad spectrum of modern harmonic analysis, from Littlewood-Paley theory (wavelets) to subtle interactions of geometry and Fourier oscillations. The common theme of the theses involves intricate local Fourier (or multiscale) decompositions of functions and operators to account for cumulative properties involving size or structure.
Download or read book Topics in Spatial Stochastic Processes written by Vincenzo Capasso and published by Springer. This book was released on 2003-01-01 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of stochastic processes indexed by a partially ordered set has been the subject of much research over the past twenty years. The objective of this CIME International Summer School was to bring to a large audience of young probabilists the general theory of spatial processes, including the theory of set-indexed martingales and to present the different branches of applications of this theory, including stochastic geometry, spatial statistics, empirical processes, spatial estimators and survival analysis. This theory has a broad variety of applications in environmental sciences, social sciences, structure of material and image analysis. In this volume, the reader will find different approaches which foster the development of tools to modelling the spatial aspects of stochastic problems.
Download or read book Topics in Classical Analysis and Applications in Honor of Daniel Waterman written by Laura De Carli and published by World Scientific. This book was released on 2008 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Complex Analysis Operators and Related Topics written by Victor P. Havin and published by Birkhäuser. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques.
Download or read book Topics in Probability and Lie Groups Boundary Theory written by John Christopher Taylor and published by American Mathematical Soc.. This book was released on 2001 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is comprised of two parts: the first contains articles by S. N. Evans, F. Ledrappier, and Figa-Talomanaca. These articles arose from a Centre de Recherches de Mathematiques (CRM) seminar entitiled, ``Topics in Probability on Lie Groups: Boundary Theory''. Evans gives a synthesis of his pre-1992 work on Gaussian measures on vector spaces over a local field. Ledrappier uses the freegroup on $d$ generators as a paradigm for results on the asymptotic properties of random walks and harmonic measures on the Martin boundary. These articles are followed by a case study by Figa-Talamanca using Gelfand pairs to study a diffusion on a compact ultrametric space. The second part of the book is an appendix to the book Compactifications of Symmetric Spaces (Birkhauser) by Y. Guivarc'h and J. C. Taylor. This appendix consists of an article by each author and presents the contents of this book in a more algebraic way. L. Ji and J.-P. Anker simplifies some of their results on the asymptotics of the Green function that were used to compute Martin boundaries. And Taylor gives a self-contained account of Martin boundary theory for manifolds using the theory of second order strictly elliptic partial differential operators.
Download or read book Selected Papers on Analysis and Related Topics written by and published by American Mathematical Soc.. This book was released on 2008 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains translations of papers that originally appeared in the Japanese journal 'Sugaku'. The papers range over a variety of topics, including operator algebras, analysis, and statistics.
Download or read book Topics in Harmonic Analysis Related to the Littlewood Paley Theory AM 63 Volume 63 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-03-02 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work deals with an extension of the classical Littlewood-Paley theory in the context of symmetric diffusion semigroups. In this general setting there are applications to a variety of problems, such as those arising in the study of the expansions coming from second order elliptic operators. A review of background material in Lie groups and martingale theory is included to make the monograph more accessible to the student.
Download or read book Nonlinear Evolution Equations and Related Topics written by Wolfgang Arendt and published by Springer Science & Business Media. This book was released on 2004-08-20 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt: Philippe Bénilan was a most original and charismatic mathematician who had a deep and decisive impact on the theory of Nonlinear Evolution Equations. Dedicated to him, Nonlinear Evolution Equations and Related Topics contains research papers written by highly distinguished mathematicians. They are all related to Philippe Benilan's work and reflect the present state of this most active field. The contributions cover a wide range of nonlinear and linear equations.
Download or read book Almost Everywhere Convergence and the Boundedness of Certain Operators written by Charles J. Mozzochi and published by . This book was released on 1974 with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces Algebras and Related Areas written by A Lau and published by CRC Press. This book was released on 1995-05-15 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of an international conference held to mark the retirement of Professor Taqdir Husain from McMaster University. The contributions, covering topics such as topological vector spaces, topological algebras and related areas, reflect Husain's research interests and present surveys and new research in the topics of the conference.
Download or read book Annales UMCS Mathematica written by Uniwersytet Marii Curie-Skłodowskiej and published by . This book was released on 1997 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
