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Author : Joseph Kampé de Fériet
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (54 download)
Download or read book Generalized Harmonic Analysis written by Joseph Kampé de Fériet and published by . This book was released on 1952 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Kampé de Fériet
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (316 download)
Download or read book Generalized Harmonic Analysis and Some Boundary Value Problems written by Joseph Kampé de Fériet and published by . This book was released on 1952 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luca Capogna
Publisher : American Mathematical Soc.
ISBN 13 : 0821827456
Total Pages : 170 pages
Book Rating : 4.8/5 (218 download)
Download or read book Harmonic Analysis and Boundary Value Problems written by Luca Capogna and published by American Mathematical Soc.. This book was released on 2001 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents research and expository articles by the participants of the 25th Arkansas Spring Lecture Series on ``Recent Progress in the Study of Harmonic Measure from a Geometric and Analytic Point of View'' held at the University of Arkansas (Fayetteville). Papers in this volume provide clear and concise presentations of many problems that are at the forefront of harmonic analysis and partial differential equations. The following topics are featured: the solution of the Kato conjecture, the ``two bricks'' problem, new results on Cauchy integrals on non-smooth curves, the Neumann problem for sub-Laplacians, and a new general approach to both divergence and nondivergence second order parabolic equations based on growth theorems. The articles in this volume offer both students and researchers a comprehensive volume of current results in the field.
Author : Joseph Kampé de Fériet
Publisher :
ISBN 13 :
Total Pages : 234 pages
Book Rating : 4.X/5 (1 download)
Download or read book Generalized Harmonic Analysis and Some Boundary Value Problems written by Joseph Kampé de Fériet and published by . This book was released on 1959 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dorina Mitrea
Publisher : Springer Nature
ISBN 13 : 3031315618
Total Pages : 1006 pages
Book Rating : 4.0/5 (313 download)
Download or read book Geometric Harmonic Analysis V written by Dorina Mitrea and published by Springer Nature. This book was released on 2023-08-22 with total page 1006 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. The ultimate goal in Volume V is to prove well-posedness and Fredholm solvability results concerning boundary value problems for elliptic second-order homogeneous constant (complex) coefficient systems, and domains of a rather general geometric nature. The formulation of the boundary value problems treated here is optimal from a multitude of points of view, having to do with geometry, functional analysis (through the consideration of a large variety of scales of function spaces), topology, and partial differential equations.
Author : Carlos E. Kenig
Publisher : American Mathematical Soc.
ISBN 13 : 0821803093
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)
Download or read book Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems written by Carlos E. Kenig and published by American Mathematical Soc.. This book was released on 1994 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for applications, and they have turned out to have profound and fascinating connections with many areas of analysis. Techniques from harmonic analysis have proved to be extremely useful in these studies, both as concrete tools in establishing theorems and as models which suggest what kind of result might be true. Kenig describes these developments and connections for the study of classical boundary value problems on Lipschitz domains and for the corresponding problems for second order elliptic equations in divergence form. He also points out many interesting problems in this area which remain open.
Author : M.M. Djrbashian
Publisher : Birkhäuser
ISBN 13 : 9783034885508
Total Pages : 258 pages
Book Rating : 4.8/5 (855 download)
Download or read book Harmonic Analysis and Boundary Value Problems in the Complex Domain written by M.M. Djrbashian and published by Birkhäuser. This book was released on 2012-02-02 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is well known, the first decades of this century were a period of elaboration of new methods in complex analysis. This elaboration had, in particular, one char acteristic feature, consisting in the interfusion of some concepts and methods of harmonic and complex analyses. That interfusion turned out to have great advan tages and gave rise to a vast number of significant results, of which we want to mention especially the classical results on the theory of Fourier series in L2 ( -7r, 7r) and their continual analog - Plancherel's theorem on the Fourier transform in L2 ( -00, +00). We want to note also two important Wiener and Paley theorems on parametric integral representations of a subclass of entire functions of expo nential type in the Hardy space H2 over a half-plane. Being under the strong influence of these results, the author began in the fifties a series of investigations in the theory of integral representations of analytic and entire functions as well as in the theory of harmonic analysis in the com plex domain. These investigations were based on the remarkable properties of the asymptotics of the entire function (p, J1 > 0), which was introduced into mathematical analysis by Mittag-Leffler for the case J1 = 1. In the process of investigation, the scope of some classical results was essentially enlarged, and the results themselves were evaluated.
Author : M.M. Djrbashian
Publisher : Birkhäuser
ISBN 13 : 3034885490
Total Pages : 266 pages
Book Rating : 4.0/5 (348 download)
Download or read book Harmonic Analysis and Boundary Value Problems in the Complex Domain written by M.M. Djrbashian and published by Birkhäuser. This book was released on 2012-12-06 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: As is well known, the first decades of this century were a period of elaboration of new methods in complex analysis. This elaboration had, in particular, one char acteristic feature, consisting in the interfusion of some concepts and methods of harmonic and complex analyses. That interfusion turned out to have great advan tages and gave rise to a vast number of significant results, of which we want to mention especially the classical results on the theory of Fourier series in L2 ( -7r, 7r) and their continual analog - Plancherel's theorem on the Fourier transform in L2 ( -00, +00). We want to note also two important Wiener and Paley theorems on parametric integral representations of a subclass of entire functions of expo nential type in the Hardy space H2 over a half-plane. Being under the strong influence of these results, the author began in the fifties a series of investigations in the theory of integral representations of analytic and entire functions as well as in the theory of harmonic analysis in the com plex domain. These investigations were based on the remarkable properties of the asymptotics of the entire function (p, J1 > 0), which was introduced into mathematical analysis by Mittag-Leffler for the case J1 = 1. In the process of investigation, the scope of some classical results was essentially enlarged, and the results themselves were evaluated.
Author : Dorina Mitrea
Publisher : Springer Nature
ISBN 13 : 3031227352
Total Pages : 980 pages
Book Rating : 4.0/5 (312 download)
Download or read book Geometric Harmonic Analysis III written by Dorina Mitrea and published by Springer Nature. This book was released on 2023-05-12 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume III is concerned with integral representation formulas for nullsolutions of elliptic PDEs, Calderón-Zygmund theory for singular integral operators, Fatou type theorems for systems of elliptic PDEs, and applications to acoustic and electromagnetic scattering. Overall, this amounts to a powerful and nuanced theory developed on uniformly rectifiable sets, which builds on the work of many predecessors.
Author : Dorina Mitrea
Publisher : Springer
ISBN 13 : 9783031059520
Total Pages : 0 pages
Book Rating : 4.0/5 (595 download)
Download or read book Geometric Harmonic Analysis I written by Dorina Mitrea and published by Springer. This book was released on 2023-11-06 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.
Author : Mkhitar M. Djrbashian
Publisher : Birkhauser
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.3/5 (91 download)
Download or read book Harmonic Analysis and Boundary Value Problems in the Complex Domain written by Mkhitar M. Djrbashian and published by Birkhauser. This book was released on 1993 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Svetlin Georgiev
Publisher : Springer Nature
ISBN 13 : 3031381963
Total Pages : 171 pages
Book Rating : 4.0/5 (313 download)
Download or read book Boundary Value Problems written by Svetlin Georgiev and published by Springer Nature. This book was released on 2023-08-16 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores boundary value problems for Riemann-Liouville fractional dynamic equations on arbitrary time scales as well as the shifting problem on the whole time scale. The author includes an introductory overview of fractional dynamic calculus on time scales. The book also introduces the Laplace transform on arbitrary time scales, including the bilateral Laplace transform, the Laplace transform of power series, and a deduction of an inverse formula. The author then discusses the generalized convolutions of functions on arbitrary time scales and the shifting problem for existence of solutions. The book moves on to cover boundary value problems and initial boundary value problems for some classes Riemann-Liouville fractional dynamic equations.
Author : Carlos E. Kenig
Publisher :
ISBN 13 : 9781470424435
Total Pages : 146 pages
Book Rating : 4.4/5 (244 download)
Download or read book Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems written by Carlos E. Kenig and published by . This book was released on 1994 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, there has been a great deal of activity in the study of boundary value problems with minimal smoothness assumptions on the coefficients or on the boundary of the domain in question. These problems are of interest both because of their theoretical importance and the implications for applications, and they have turned out to have profound and fascinating connections with many areas of analysis. Techniques from harmonic analysis have proved to be extremely useful in these studies, both as concrete tools in establishing theorems and as models which suggest what kind of result migh.
Author : Leonid Vitalʹevich Kantorovich
Publisher : Burns & Oates
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)
Download or read book Tables for the Numerical Solution of Boundary Value Problems written by Leonid Vitalʹevich Kantorovich and published by Burns & Oates. This book was released on 1963 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Dorina Mitrea
Publisher : Springer Nature
ISBN 13 : 3031137183
Total Pages : 938 pages
Book Rating : 4.0/5 (311 download)
Download or read book Geometric Harmonic Analysis II written by Dorina Mitrea and published by Springer Nature. This book was released on 2023-03-03 with total page 938 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is part of a larger program, materializing in five volumes, whose principal aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. Volume II is concerned with function spaces measuring size and/or smoothness, such as Hardy spaces, Besov spaces, Triebel-Lizorkin spaces, Sobolev spaces, Morrey spaces, Morrey-Campanato spaces, spaces of functions of Bounded Mean Oscillations, etc., in general geometric settings. Work here also highlights the close interplay between differentiability properties of functions and singular integral operators. The text is intended for researchers, graduate students, and industry professionals interested in harmonic analysis, functional analysis, geometric measure theory, and function space theory.
Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000099083
Total Pages : 357 pages
Book Rating : 4.0/5 ( download)
Download or read book Harmonic Analysis and Applications written by John J. Benedetto and published by CRC Press. This book was released on 2020-12-17 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic analysis plays an essential role in understanding a host of engineering, mathematical, and scientific ideas. In Harmonic Analysis and Applications, the analysis and synthesis of functions in terms of harmonics is presented in such a way as to demonstrate the vitality, power, elegance, usefulness, and the intricacy and simplicity of the subject. This book is about classical harmonic analysis - a textbook suitable for students, and an essay and general reference suitable for mathematicians, physicists, and others who use harmonic analysis. Throughout the book, material is provided for an upper level undergraduate course in harmonic analysis and some of its applications. In addition, the advanced material in Harmonic Analysis and Applications is well-suited for graduate courses. The course is outlined in Prologue I. This course material is excellent, not only for students, but also for scientists, mathematicians, and engineers as a general reference. Chapter 1 covers the Fourier analysis of integrable and square integrable (finite energy) functions on R. Chapter 2 of the text covers distribution theory, emphasizing the theory's useful vantage point for dealing with problems and general concepts from engineering, physics, and mathematics. Chapter 3 deals with Fourier series, including the Fourier analysis of finite and infinite sequences, as well as functions defined on finite intervals. The mathematical presentation, insightful perspectives, and numerous well-chosen examples and exercises in Harmonic Analysis and Applications make this book well worth having in your collection.
Author : Sha Huang
Publisher : Springer Science & Business Media
ISBN 13 : 0387245367
Total Pages : 257 pages
Book Rating : 4.3/5 (872 download)
Download or read book Real and Complex Clifford Analysis written by Sha Huang and published by Springer Science & Business Media. This book was released on 2006-03-16 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Clifford analysis, a branch of mathematics that has been developed since about 1970, has important theoretical value and several applications. In this book, the authors introduce many properties of regular functions and generalized regular functions in real Clifford analysis, as well as harmonic functions in complex Clifford analysis. It covers important developments in handling the incommutativity of multiplication in Clifford algebra, the definitions and computations of high-order singular integrals, boundary value problems, and so on. In addition, the book considers harmonic analysis and boundary value problems in four kinds of characteristic fields proposed by Luogeng Hua for complex analysis of several variables. The great majority of the contents originate in the authors’ investigations, and this new monograph will be interesting for researchers studying the theory of functions.
