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Analytic Capacity And Differentiability Properties Of Finely Harmonic Functions
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Book Synopsis Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral by : Hervé Pajot
Download or read book Analytic Capacity, Rectifiability, Menger Curvature and Cauchy Integral written by Hervé Pajot and published by Springer Science & Business Media. This book was released on 2002-11-26 with total page 140 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.
Book Synopsis Harmonic Analysis at Mount Holyoke by : William Beckner
Download or read book Harmonic Analysis at Mount Holyoke written by William Beckner and published by American Mathematical Soc.. This book was released on 2003 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference on harmonic analysis and related areas. The conference provided an opportunity for researchers and students to exchange ideas and report on progress in this large and central field of modern mathematics. The volume is suitable for graduate students and research mathematicians interested in harmonic analysis and related areas.
Book Synopsis Selected Papers on Analysis, Probability, and Statistics by : Katsumi Nomizu
Download or read book Selected Papers on Analysis, Probability, and Statistics written by Katsumi Nomizu and published by American Mathematical Soc.. This book was released on 1994 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents papers in the general area of mathematical analysis as it pertains to probability and statistics, dynamical systems, differential equations, and analytic function theory. Among the topics discussed are: stochastic differential equations, spectra of the Laplacian and Schrödinger operators, nonlinear partial differential equations which generate dissipative dynamical systems, fractal analysis on self-similar sets, and the global structure of analytic functions.
Author :American Mathematical Society Publisher :American Mathematical Soc. ISBN 13 :082184881X Total Pages :258 pages Book Rating :4.8/5 (218 download)
Book Synopsis Selected Papers on Analysis and Differential Equations by : American Mathematical Society
Download or read book Selected Papers on Analysis and Differential Equations written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume includes English translation of ten expository articles published in the Japanese journal Sugaku."
Book Synopsis A Real Variable Method for the Cauchy Transform, and Analytic Capacity by : Takafumi Murai
Download or read book A Real Variable Method for the Cauchy Transform, and Analytic Capacity written by Takafumi Murai and published by Springer. This book was released on 2006-11-15 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph studies the Cauchy transform on curves with the object of formulating a precise estimate of analytic capacity. The note is divided into three chapters. The first chapter is a review of the Calderón commutator. In the second chapter, a real variable method for the Cauchy transform is given using only the rising sun lemma. The final and principal chapter uses the method of the second chapter to compare analytic capacity with integral-geometric quantities. The prerequisites for reading this book are basic knowledge of singular integrals and function theory. It addresses specialists and graduate students in function theory and in fluid dynamics.
Book Synopsis Seminar of Mathematical Analysis by : Genaro López Acedo
Download or read book Seminar of Mathematical Analysis written by Genaro López Acedo and published by Universidad de Sevilla. This book was released on 2004 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of the lecture notes of the Seminar on Mathematical Analysis which was held at the Universities of Malaga and Seville, Septembre 2002-February 2003.
Book Synopsis Lectures on Singular Integral Operators by : Francis Michael Christ
Download or read book Lectures on Singular Integral Operators written by Francis Michael Christ and published by American Mathematical Soc.. This book was released on 1991-01-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents an expanded account of lectures delivered at the NSF-CBMS Regional Conference on Singular Integral Operators, held at the University of Montana in the summer of 1989. The lectures are concerned principally with developments in the subject related to the Cauchy integral on Lipschitz curves and the T(1) theorem. The emphasis is on real-variable techniques, with a discussion of analytic capacity in one complex variable included as an application. The author has presented here a synthesized exposition of a body of results and techniques. Much of the book is introductory in character and intended to be accessible to the nonexpert, but a variety of readers should find the book useful.
Book Synopsis Function Spaces and Potential Theory by : David R. Adams
Download or read book Function Spaces and Potential Theory written by David R. Adams and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: "..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society
Book Synopsis Potential Theory, Surveys and Problems by : Josef Kral
Download or read book Potential Theory, Surveys and Problems written by Josef Kral and published by Springer. This book was released on 2007-02-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume comprises eleven survey papers based on survey lectures delivered at the Conference in Prague in July 1987, which covered various facets of potential theory, including its applications in other areas. The survey papers deal with both classical and abstract potential theory and its relations to partial differential equations, stochastic processes and other branches such as numerical analysis and topology. A collection of problems from potential theory, compiled on the occasion of the conference, is included, with additional commentaries, in the second part of this volume.
Book Synopsis Complex Analysis Joensuu 1987 by : Ilpo Laine
Download or read book Complex Analysis Joensuu 1987 written by Ilpo Laine and published by Springer. This book was released on 2006-11-14 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The articles in this volume are for the most part research articles related mainly to the theory of quasiconformal and quasiregular mappings, Riemann surfaces and potential theory. They have resulted from talks delivered at the 13th Nevanlinna Colloquium, which was also a celebration of the 80th birthday of Lars V. Ahlfors: hence many articles in this volume reflect his mathematical interests.
Book Synopsis A Real Variable Method for the Cauchy Transform and Applications to Analytic Capacity by : Takafumi Murai
Download or read book A Real Variable Method for the Cauchy Transform and Applications to Analytic Capacity written by Takafumi Murai and published by . This book was released on 1987 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry of Sets and Measures in Euclidean Spaces by : Pertti Mattila
Download or read book Geometry of Sets and Measures in Euclidean Spaces written by Pertti Mattila and published by Cambridge University Press. This book was released on 1999-02-25 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in paperback, the main theme of this book is the study of geometric properties of general sets and measures in euclidean spaces. Applications of this theory include fractal-type objects such as strange attractors for dynamical systems and those fractals used as models in the sciences. The author provides a firm and unified foundation and develops all the necessary main tools, such as covering theorems, Hausdorff measures and their relations to Riesz capacities and Fourier transforms. The last third of the book is devoted to the Beisovich-Federer theory of rectifiable sets, which form in a sense the largest class of subsets of euclidean space posessing many of the properties of smooth surfaces. These sets have wide application including the higher-dimensional calculus of variations. Their relations to complex analysis and singular integrals are also studied. Essentially self-contained, this book is suitable for graduate students and researchers in mathematics.
Download or read book Hiroshima Mathematical Journal written by and published by . This book was released on 1984-05 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the International Congress of Mathematicians by : Ichiro Satake
Download or read book Proceedings of the International Congress of Mathematicians written by Ichiro Satake and published by Springer. This book was released on 1992-01-05 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: These proceedings start with the official report of the Congress, given in the front pages, a list of donors, and a list of registrated participants, as well as the reports of the opening and closing ceremonies. The main body of the proceedings includes the papers presented by the 15 plenary speakers and 139 invited speakers, selected by the Programm Committee. These volumes are rounded off by the reports of the works of the four fields medalists V.G. Drinfield, V.F.R. Jones, S. Mori, E. Witten and the winner of the Rolf Nevanlinna Prize A.A. Razborov.
Download or read book Sbornik written by and published by . This book was released on 1995 with total page 958 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan by : Ichirō Satake
Download or read book Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyoto, Japan written by Ichirō Satake and published by Springer. This book was released on 1991 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis American journal of mathematics by :
Download or read book American journal of mathematics written by and published by . This book was released on 2004 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: