Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30

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Publisher : Princeton University Press
ISBN 13 : 1400883881
Total Pages : 306 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 by : Elias M. Stein

Download or read book Singular Integrals and Differentiability Properties of Functions (PMS-30), Volume 30 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-06-02 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.

Probability Theory, an Analytic View

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Publisher : Cambridge University Press
ISBN 13 : 9780521663496
Total Pages : 558 pages
Book Rating : 4.6/5 (634 download)

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Book Synopsis Probability Theory, an Analytic View by : Daniel W. Stroock

Download or read book Probability Theory, an Analytic View written by Daniel W. Stroock and published by Cambridge University Press. This book was released on 1999 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: This revised edition is suitable for a first-year graduate course on probability theory. It is intended for students with a good grasp of introductory, undergraduate probability and is a reasonably sophisticated introduction to modern analysis for those who want to learn what these two topics have to say about each other. The first part of the book deals with independent random variables, Central Limit phenomena, the general theory of weak convergence and several of its applications, as well as elements of both the Gaussian and Markovian theory of measures on function space. The introduction of conditional expectation values is postponed until the second part of the book where it is applied to the study of martingales. This section also explores the connection between martingales and various aspects of classical analysis and the connections between Wiener's measure and classical potential theory.

Theory and Applications of Differentiable Functions of Several Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821831311
Total Pages : 308 pages
Book Rating : 4.8/5 (313 download)

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Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by : S. M. Nikol'skii

Download or read book Theory and Applications of Differentiable Functions of Several Variables written by S. M. Nikol'skii and published by American Mathematical Soc.. This book was released on 1990 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theory and Applications of Differentiable Functions of Several Variables

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821830833
Total Pages : 264 pages
Book Rating : 4.8/5 (38 download)

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Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by : Sergeĭ Mikhaĭlovich Nikolʹskiĭ

Download or read book Theory and Applications of Differentiable Functions of Several Variables written by Sergeĭ Mikhaĭlovich Nikolʹskiĭ and published by American Mathematical Soc.. This book was released on 1984 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Smooth Molecular Decompositions of Functions and Singular Integral Operators

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Publisher : American Mathematical Soc.
ISBN 13 : 0821827723
Total Pages : 89 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Smooth Molecular Decompositions of Functions and Singular Integral Operators by : John E. Gilbert

Download or read book Smooth Molecular Decompositions of Functions and Singular Integral Operators written by John E. Gilbert and published by American Mathematical Soc.. This book was released on 2002 with total page 89 pages. Available in PDF, EPUB and Kindle. Book excerpt: Under minimal assumptions on a function $\psi$ the authors obtain wavelet-type frames of the form $\psi_{j, k}(x) = r DEGREES{(1/2)n j} \psi(r DEGREESj x - sk), j \in \integer, k \in \integer DEGREESn, $ for some $r > 1$ and $s > 0$. This collection is shown to be a frame for a scale of Triebel-Lizorkin spaces (which includes Lebesgue, Sobolev and Hardy spaces) and the reproducing formula converges in norm as well as pointwise a.e. The construction follows from a characterization of those operators which are bounded on a space of smooth molecules. This characterization also allows us to decompose a broad range of singular integral operators in ter

Singular Integrals

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Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Singular Integrals by : Alberto P. Calderón

Download or read book Singular Integrals written by Alberto P. Calderón and published by . This book was released on 1967 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Singular Integrals

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Publisher :
ISBN 13 :
Total Pages : 394 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Singular Integrals by : Alberto P. Calderón

Download or read book Singular Integrals written by Alberto P. Calderón and published by . This book was released on 1967 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Toeplitz Matrices and Singular Integral Equations

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Publisher : Birkhäuser
ISBN 13 : 3034881991
Total Pages : 327 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Toeplitz Matrices and Singular Integral Equations by : Albrecht Böttcher

Download or read book Toeplitz Matrices and Singular Integral Equations written by Albrecht Böttcher and published by Birkhäuser. This book was released on 2012-12-06 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, dedicated to Bernd Silbermann on his sixtieth birthday, collects research articles on Toeplitz matrices and singular integral equations written by leading area experts. The subjects of the contributions include Banach algebraic methods, Toeplitz determinants and random matrix theory, Fredholm theory and numerical analysis for singular integral equations, and efficient algorithms for linear systems with structured matrices, and reflect Bernd Silbermann's broad spectrum of research interests. The volume also contains a biographical essay and a list of publications. The book is addressed to a wide audience in the mathematical and engineering sciences. The articles are carefully written and are accessible to motivated readers with basic knowledge in functional analysis and operator theory.

Singular Integrals and Related Topics

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Publisher : World Scientific
ISBN 13 : 9812770569
Total Pages : 281 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Singular Integrals and Related Topics by : Shanzhen Lu

Download or read book Singular Integrals and Related Topics written by Shanzhen Lu and published by World Scientific. This book was released on 2007 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces some important progress in the theory of CalderonOCoZygmund singular integrals, oscillatory singular integrals, and LittlewoodOCoPaley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces, the criterion on boundedness of oscillatory singular integrals, and boundedness of the rough Marcinkiewicz integrals. These results have frequently been cited in many published papers."

Gaussian Harmonic Analysis

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Publisher : Springer
ISBN 13 : 3030055973
Total Pages : 477 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Gaussian Harmonic Analysis by : Wilfredo Urbina-Romero

Download or read book Gaussian Harmonic Analysis written by Wilfredo Urbina-Romero and published by Springer. This book was released on 2019-06-21 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a ranking authority in Gaussian harmonic analysis, this book embodies a state-of-the-art entrée at the intersection of two important fields of research: harmonic analysis and probability. The book is intended for a very diverse audience, from graduate students all the way to researchers working in a broad spectrum of areas in analysis. Written with the graduate student in mind, it is assumed that the reader has familiarity with the basics of real analysis as well as with classical harmonic analysis, including Calderón-Zygmund theory; also some knowledge of basic orthogonal polynomials theory would be convenient. The monograph develops the main topics of classical harmonic analysis (semigroups, covering lemmas, maximal functions, Littlewood-Paley functions, spectral multipliers, fractional integrals and fractional derivatives, singular integrals) with respect to the Gaussian measure. The text provide an updated exposition, as self-contained as possible, of all the topics in Gaussian harmonic analysis that up to now are mostly scattered in research papers and sections of books; also an exhaustive bibliography for further reading. Each chapter ends with a section of notes and further results where connections between Gaussian harmonic analysis and other connected fields, points of view and alternative techniques are given. Mathematicians and researchers in several areas will find the breadth and depth of the treatment of the subject highly useful.

Theory and Applications of Differentiable Functions of Several Variables

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821802762
Total Pages : 276 pages
Book Rating : 4.8/5 (27 download)

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Book Synopsis Theory and Applications of Differentiable Functions of Several Variables by :

Download or read book Theory and Applications of Differentiable Functions of Several Variables written by and published by American Mathematical Soc.. This book was released on 1994 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores various topical trends in the theory of differentiable functions of several real variables and its applications. Among the subjects covered are: imbedding of various spaces of differentiable functions defined on sets in Euclidean space, on a sphere, and in a polydisc; approximation of functions; estimates for the norms of various integral operators in weighted space; conditions for stabilization of a function to a polynomial; sufficient conditions for multipliers; construction of unconditional bases in anisotropic spaces; existence of entire solutions for quasilinear equations; and establishment of an asymptotic formula for the kernels of powers of the resolvent of elliptic operators.

Harmonic Analysis and Applications

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Publisher : American Mathematical Soc.
ISBN 13 : 1470461277
Total Pages : 345 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Harmonic Analysis and Applications by : Carlos E. Kenig

Download or read book Harmonic Analysis and Applications written by Carlos E. Kenig and published by American Mathematical Soc.. This book was released on 2020-12-14 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origins of the harmonic analysis go back to an ingenious idea of Fourier that any reasonable function can be represented as an infinite linear combination of sines and cosines. Today's harmonic analysis incorporates the elements of geometric measure theory, number theory, probability, and has countless applications from data analysis to image recognition and from the study of sound and vibrations to the cutting edge of contemporary physics. The present volume is based on lectures presented at the summer school on Harmonic Analysis. These notes give fresh, concise, and high-level introductions to recent developments in the field, often with new arguments not found elsewhere. The volume will be of use both to graduate students seeking to enter the field and to senior researchers wishing to keep up with current developments.

Quadrature Domains and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 3764373164
Total Pages : 298 pages
Book Rating : 4.7/5 (643 download)

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Book Synopsis Quadrature Domains and Their Applications by : Peter Ebenfelt

Download or read book Quadrature Domains and Their Applications written by Peter Ebenfelt and published by Springer Science & Business Media. This book was released on 2006-03-10 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quadrature domains were singled out about 30 years ago by D. Aharonov and H.S. Shapiro in connection with an extremal problem in function theory. Since then, a series of coincidental discoveries put this class of planar domains at the center of crossroads of several quite independent mathematical theories, e.g., potential theory, Riemann surfaces, inverse problems, holomorphic partial differential equations, fluid mechanics, operator theory. The volume is devoted to recent advances in the theory of quadrature domains, illustrating well the multi-facet aspects of their nature. The book contains a large collection of open problems pertaining to the general theme of quadrature domains.

Thirteen Papers in Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821831090
Total Pages : 396 pages
Book Rating : 4.8/5 (31 download)

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Book Synopsis Thirteen Papers in Analysis by : R. R. Suncheleev

Download or read book Thirteen Papers in Analysis written by R. R. Suncheleev and published by American Mathematical Soc.. This book was released on 1986 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces

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Publisher : American Mathematical Soc.
ISBN 13 : 0821809393
Total Pages : 384 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Function Spaces by : Krzysztof Jarosz

Download or read book Function Spaces written by Krzysztof Jarosz and published by American Mathematical Soc.. This book was released on 1999 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This proceedings volume presents 36 papers given by leading experts during the Third Conference on Function Spaces held at Southern Illinois University at Edwardsville. A wide range of topics in the subject area are covered. Most papers are written for nonexperts, so the book can serve as a good introduction to the topic for those interested in this area. The book presents the following broad range of topics, including spaces and algebras of analytic functions of one and of many variables, $Lp$ spaces, spaces of Banach-valued functions, isometries of function spaces, geometry of Banach spaces and related subjects. Known results, open problems, and new discoveries are featured. At the time of publication, information about the book, the conference, and a list and pictures of contributors are available on the Web at www.siue.edu/MATH/conference.htm.

Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral

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Publisher : Springer
ISBN 13 : 3540360743
Total Pages : 133 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral by : Hervé M. Pajot

Download or read book Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral written by Hervé M. Pajot and published by Springer. This book was released on 2002-01-01 with total page 133 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a graduate course given by the author at Yale University this book deals with complex analysis (analytic capacity), geometric measure theory (rectifiable and uniformly rectifiable sets) and harmonic analysis (boundedness of singular integral operators on Ahlfors-regular sets). In particular, these notes contain a description of Peter Jones' geometric traveling salesman theorem, the proof of the equivalence between uniform rectifiability and boundedness of the Cauchy operator on Ahlfors-regular sets, the complete proofs of the Denjoy conjecture and the Vitushkin conjecture (for the latter, only the Ahlfors-regular case) and a discussion of X. Tolsa's solution of the Painlevé problem.

Harmonic Analysis (PMS-43), Volume 43

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Publisher : Princeton University Press
ISBN 13 : 140088392X
Total Pages : 712 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Harmonic Analysis (PMS-43), Volume 43 by : Elias M. Stein

Download or read book Harmonic Analysis (PMS-43), Volume 43 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-06-02 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.