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Approximation Of Harmonic Functions
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Book Synopsis Harmonic Function Theory by : Sheldon Axler
Download or read book Harmonic Function Theory written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Book Synopsis On Degree of Approximation by Bounded Harmonic Functions by : J. L. Walsh
Download or read book On Degree of Approximation by Bounded Harmonic Functions written by J. L. Walsh and published by . This book was released on 1959 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of Harmonic Functions by : Robert Loyd Ludwig
Download or read book Approximation of Harmonic Functions written by Robert Loyd Ludwig and published by . This book was released on 1969 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Approximation by : Stephen J. Gardiner
Download or read book Harmonic Approximation written by Stephen J. Gardiner and published by Cambridge University Press. This book was released on 1995-05-18 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first book to provide a systematic account of recent developments and applications in harmonic approximation, progresses from classical results concerning uniform approximation on compact sets through fusion techniques to deal with approximation on unbounded sets.
Book Synopsis Spherical Harmonics and Approximations on the Unit Sphere: An Introduction by : Kendall Atkinson
Download or read book Spherical Harmonics and Approximations on the Unit Sphere: An Introduction written by Kendall Atkinson and published by Springer Science & Business Media. This book was released on 2012-02-17 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions.
Book Synopsis Approximation by harmonic functions by : Werner Haußmann
Download or read book Approximation by harmonic functions written by Werner Haußmann and published by . This book was released on 1987 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation Theory and Harmonic Analysis on Spheres and Balls by : Feng Dai
Download or read book Approximation Theory and Harmonic Analysis on Spheres and Balls written by Feng Dai and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph records progress in approximation theory and harmonic analysis on balls and spheres, and presents contemporary material that will be useful to analysts in this area. While the first part of the book contains mainstream material on the subject, the second and the third parts deal with more specialized topics, such as analysis in weight spaces with reflection invariant weight functions, and analysis on balls and simplexes. The last part of the book features several applications, including cubature formulas, distribution of points on the sphere, and the reconstruction algorithm in computerized tomography. This book is directed at researchers and advanced graduate students in analysis. Mathematicians who are familiar with Fourier analysis and harmonic analysis will understand many of the concepts that appear in this manuscript: spherical harmonics, the Hardy-Littlewood maximal function, the Marcinkiewicz multiplier theorem, the Riesz transform, and doubling weights are all familiar tools to researchers in this area.
Book Synopsis Approximation of Harmonic Functions, by Potentials of Unit Charges by : Donald Theodore Piele
Download or read book Approximation of Harmonic Functions, by Potentials of Unit Charges written by Donald Theodore Piele and published by . This book was released on 1970 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of Harmonic Functions by Universal Overconvergent Series by : Innocent Tamptse
Download or read book Approximation of Harmonic Functions by Universal Overconvergent Series written by Innocent Tamptse and published by LAP Lambert Academic Publishing. This book was released on 2010-07 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study the approximation of harmonic functions by universal overconvergent series. Most of the results established are analogues of those obtained in the case of approximation of holomorphic functions by such series. In the case of holomorphic functions, the approximation is made for functions which are continuous on a compact set and holomorphic inside this compact set, while our approximation is for functions that are harmonic in a neighborhood of the compact set. This difference is due to the fact that in the case of holomorphic functions, we have at our disposal Mergelyan s approximation theorem, which allows such an approximation, while in the case of harmonic functions, we employ only the classic approximation theorem of Walsh (harmonic analogue of the theorem of Runge).
Book Synopsis The Approximation of Harmonic Functions in Three Dimensions by Harmonic Polynomials by : Cecil Thomas Holmes
Download or read book The Approximation of Harmonic Functions in Three Dimensions by Harmonic Polynomials written by Cecil Thomas Holmes and published by . This book was released on 1931 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation by Harmonic Functions, and Stability of the Dirichlet Problem by : Lars Inge Hedberg
Download or read book Approximation by Harmonic Functions, and Stability of the Dirichlet Problem written by Lars Inge Hedberg and published by . This book was released on 1990 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation of Harmonic Functions by : Björn E. J. Dahlberg
Download or read book Approximation of Harmonic Functions written by Björn E. J. Dahlberg and published by . This book was released on 1979 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Introduction to Harmonic Analysis by : Ricardo A. Sáenz
Download or read book Introduction to Harmonic Analysis written by Ricardo A. Sáenz and published by American Mathematical Society. This book was released on 2023-06-29 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a self-contained introduction to the modern ideas and problems of harmonic analysis. Intended for third- and fourth-year undergraduates, the book only requires basic knowledge of real analysis, and covers necessary background in measure theory, Lebesgue integration and approximation theorems. The book motivates the study of harmonic functions by describing the Dirichlet problem, and discussing examples such as solutions to the heat equation in equilibrium, the real and imaginary parts of holomorphic functions, and the minimizing functions of energy. It then leads students through an in-depth study of the boundary behavior of harmonic functions and finishes by developing the theory of harmonic functions defined on fractals domains. The book is designed as a textbook for an introductory course on classical harmonic analysis, or for a course on analysis on fractals. Each chapter contains exercises, and bibliographic and historical notes. The book can also be used as a supplemental text or for self-study.
Book Synopsis Concerning Harmonic Functions by : Stanley Joseph Lawwill
Download or read book Concerning Harmonic Functions written by Stanley Joseph Lawwill and published by . This book was released on 1941 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Uniform Approximation by Harmonic Functions by : Hans B. Johansson
Download or read book Uniform Approximation by Harmonic Functions written by Hans B. Johansson and published by . This book was released on 1996 with total page 25 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Approximation by Bounded Harmonic Functions by : Marvin Ortel
Download or read book Approximation by Bounded Harmonic Functions written by Marvin Ortel and published by . This book was released on 1973 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On the Degree of Approximation to Harmonic Functions by Harmonic Polynomials by : Helen Margaret Elliott
Download or read book On the Degree of Approximation to Harmonic Functions by Harmonic Polynomials written by Helen Margaret Elliott and published by . This book was released on 1948 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
