Harmonic Analysis Partial Differential Equations And Applications

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Harmonic Analysis, Partial Differential Equations and Applications

Author : Sagun Chanillo
Publisher : Birkhäuser
ISBN 13 : 3319527428
Total Pages : 319 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Harmonic Analysis, Partial Differential Equations and Applications by : Sagun Chanillo

Download or read book Harmonic Analysis, Partial Differential Equations and Applications written by Sagun Chanillo and published by Birkhäuser. This book was released on 2017-02-20 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles and surveys is devoted to Harmonic Analysis, related Partial Differential Equations and Applications and in particular to the fields of research to which Richard L. Wheeden made profound contributions. The papers deal with Weighted Norm inequalities for classical operators like Singular integrals, fractional integrals and maximal functions that arise in Harmonic Analysis. Other papers deal with applications of Harmonic Analysis to Degenerate Elliptic equations, variational problems, Several Complex variables, Potential theory, free boundaries and boundary behavior of functions.

Perspectives in Partial Differential Equations, Harmonic Analysis and Applications

Author : Dorina Mitrea
Publisher : American Mathematical Soc.
ISBN 13 : 0821844245
Total Pages : 446 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Perspectives in Partial Differential Equations, Harmonic Analysis and Applications by : Dorina Mitrea

Download or read book Perspectives in Partial Differential Equations, Harmonic Analysis and Applications written by Dorina Mitrea and published by American Mathematical Soc.. This book was released on 2008 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of papers contributed on the occasion of Mazya's 70th birthday by a distinguished group of experts of international stature in the fields of harmonic analysis, partial differential equations, function theory, and spectral analysis, reflecting the state of the art in these areas.

Harmonic Analysis and Partial Differential Equations

Author : Justin Feuto
Publisher : Springer Nature
ISBN 13 : 3031663756
Total Pages : 273 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Harmonic Analysis and Partial Differential Equations by : Justin Feuto

Download or read book Harmonic Analysis and Partial Differential Equations written by Justin Feuto and published by Springer Nature. This book was released on with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Distributions, Partial Differential Equations, and Harmonic Analysis

Author : Dorina Mitrea
Publisher : Springer Science & Business Media
ISBN 13 : 1461482089
Total Pages : 475 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Distributions, Partial Differential Equations, and Harmonic Analysis by : Dorina Mitrea

Download or read book Distributions, Partial Differential Equations, and Harmonic Analysis written by Dorina Mitrea and published by Springer Science & Business Media. This book was released on 2013-09-20 with total page 475 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of distributions constitutes an essential tool in the study of partial differential equations. This textbook would offer, in a concise, largely self-contained form, a rapid introduction to the theory of distributions and its applications to partial differential equations, including computing fundamental solutions for the most basic differential operators: the Laplace, heat, wave, Lam\'e and Schrodinger operators.

Distributions, Partial Differential Equations, and Harmonic Analysis

Author : Dorina Mitrea
Publisher : Springer
ISBN 13 : 3030032965
Total Pages : 600 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Distributions, Partial Differential Equations, and Harmonic Analysis by : Dorina Mitrea

Download or read book Distributions, Partial Differential Equations, and Harmonic Analysis written by Dorina Mitrea and published by Springer. This book was released on 2018-12-29 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to offer, in a concise, rigorous, and largely self-contained manner, a rapid introduction to the theory of distributions and its applications to partial differential equations and harmonic analysis. The book is written in a format suitable for a graduate course spanning either over one-semester, when the focus is primarily on the foundational aspects, or over a two-semester period that allows for the proper amount of time to cover all intended applications as well. It presents a balanced treatment of the topics involved, and contains a large number of exercises (upwards of two hundred, more than half of which are accompanied by solutions), which have been carefully chosen to amplify the effect, and substantiate the power and scope, of the theory of distributions. Graduate students, professional mathematicians, and scientifically trained people with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. Throughout, a special effort has been made to develop the theory of distributions not as an abstract edifice but rather give the reader a chance to see the rationale behind various seemingly technical definitions, as well as the opportunity to apply the newly developed tools (in the natural build-up of the theory) to concrete problems in partial differential equations and harmonic analysis, at the earliest opportunity. The main additions to the current, second edition, pertain to fundamental solutions (through the inclusion of the Helmholtz operator, the perturbed Dirac operator, and their iterations) and the theory of Sobolev spaces (built systematically from the ground up, exploiting natural connections with the Fourier Analysis developed earlier in the monograph).

Harmonic Analysis and Partial Differential Equations

Author : Alberto P. Calderón
Publisher : University of Chicago Press
ISBN 13 : 9780226104560
Total Pages : 388 pages
Book Rating : 4.1/5 (45 download)

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Book Synopsis Harmonic Analysis and Partial Differential Equations by : Alberto P. Calderón

Download or read book Harmonic Analysis and Partial Differential Equations written by Alberto P. Calderón and published by University of Chicago Press. This book was released on 1999 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alberto P. Calderón (1920-1998) was one of this century's leading mathematical analysts. His contributions, characterized by great originality and depth, have changed the way researchers approach and think about everything from harmonic analysis to partial differential equations and from signal processing to tomography. In addition, he helped define the "Chicago school" of analysis, which remains influential to this day. In 1996, more than 300 mathematicians from around the world gathered in Chicago for a conference on harmonic analysis and partial differential equations held in Calderón's honor. This volume originated in papers given there and presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest scholars working in these areas. An important addition to the literature, this book is essential reading for researchers in these and other related fields.

Harmonic Analysis and Partial Differential Equations

Author : Michael Ruzhansky
Publisher : Springer Nature
ISBN 13 : 3031243110
Total Pages : 241 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Harmonic Analysis and Partial Differential Equations by : Michael Ruzhansky

Download or read book Harmonic Analysis and Partial Differential Equations written by Michael Ruzhansky and published by Springer Nature. This book was released on 2023-03-06 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects papers related to the session “Harmonic Analysis and Partial Differential Equations” held at the 13th International ISAAC Congress in Ghent and provides an overview on recent trends and advances in the interplay between harmonic analysis and partial differential equations. The book can serve as useful source of information for mathematicians, scientists and engineers. The volume contains contributions of authors from a variety of countries on a wide range of active research areas covering different aspects of partial differential equations interacting with harmonic analysis and provides a state-of-the-art overview over ongoing research in the field. It shows original research in full detail allowing researchers as well as students to grasp new aspects and broaden their understanding of the area.

Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2)

Author : María Cristina Pereyra
Publisher : Springer
ISBN 13 : 3319515934
Total Pages : 469 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) by : María Cristina Pereyra

Download or read book Harmonic Analysis, Partial Differential Equations, Banach Spaces, and Operator Theory (Volume 2) written by María Cristina Pereyra and published by Springer. This book was released on 2017-07-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the second of a two volume series. Covering a range of subjects from operator theory and classical harmonic analysis to Banach space theory, this book features fully-refereed, high-quality papers exploring new results and trends in weighted norm inequalities, Schur-Agler class functions, complex analysis, dynamical systems, and dyadic harmonic analysis. Graduate students and researchers in analysis will find inspiration in the articles collected in this volume, which emphasize the remarkable connections between harmonic analysis and operator theory. A survey of the two weight problem for the Hilbert transform and an expository article on the Clark model to the case of non-singular measures and applications to the study of rank-one perturbations are included. The material for this volume is based on the 13th New Mexico Analysis Seminar held at the University of New Mexico, April 3-4, 2014 and on several special sections of the Western Spring Sectional Meeting at the University of New Mexico, April 4-6,2014. During the event, participants honored the memory of Cora Sadosky—a great mathematician who recently passed away and who made significant contributions to the field of harmonic analysis. Cora was an exceptional scientist and human being. She was a world expert in harmonic analysis and operator theory, publishing over fifty-five research papers and authoring a major textbook in the field. Participants of the conference include new and senior researchers, recent doctorates as well as leading experts in the area.

Harmonic Analysis and Partial Differential Equations

Author : Mario Milman
Publisher : American Mathematical Soc.
ISBN 13 : 0821851136
Total Pages : 144 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Analysis and Partial Differential Equations by : Mario Milman

Download or read book Harmonic Analysis and Partial Differential Equations written by Mario Milman and published by American Mathematical Soc.. This book was released on 1990 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illuminates the relationship between harmonic analysis and partial differential equations. This book covers topics such as application of fully nonlinear, uniformly elliptic equations to the Monge Ampere equation; and estimates for Green functions for the purpose of studying Dirichlet problems for operators in non-divergence form.

Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science

Author : Isaac Pesenson
Publisher : Birkhäuser
ISBN 13 : 3319555561
Total Pages : 512 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science by : Isaac Pesenson

Download or read book Recent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science written by Isaac Pesenson and published by Birkhäuser. This book was released on 2017-08-09 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science. The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces. Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as: The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems. Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets. Applications of harmonic analysis to data science and statistics Boundary-value problems for PDE's including the Runge–Walsh theorem for the oblique derivative problem of physical geodesy.

Harmonic and Geometric Analysis

Author : Giovanna Citti
Publisher : Birkhäuser
ISBN 13 : 3034804083
Total Pages : 178 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Harmonic and Geometric Analysis by : Giovanna Citti

Download or read book Harmonic and Geometric Analysis written by Giovanna Citti and published by Birkhäuser. This book was released on 2015-04-28 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an expanded version of lectures delivered by the authors at the CRM in Spring of 2009. It contains four series of lectures. The first one is an application of harmonic analysis and the Heisenberg group to understand human vision. The second and third series of lectures cover some of the main topics on linear and multilinear harmonic analysis. The last one is a clear introduction to a deep result of De Giorgi, Moser and Nash on regularity of elliptic partial differential equations in divergence form.

Explorations in Harmonic Analysis

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 0817646698
Total Pages : 367 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Explorations in Harmonic Analysis by : Steven G. Krantz

Download or read book Explorations in Harmonic Analysis written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2009-05-24 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained text provides an introduction to modern harmonic analysis in the context in which it is actually applied, in particular, through complex function theory and partial differential equations. It takes the novice mathematical reader from the rudiments of harmonic analysis (Fourier series) to the Fourier transform, pseudodifferential operators, and finally to Heisenberg analysis.

Fourier Analysis and Nonlinear Partial Differential Equations

Author : Hajer Bahouri
Publisher : Springer Science & Business Media
ISBN 13 : 3642168302
Total Pages : 530 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Fourier Analysis and Nonlinear Partial Differential Equations by : Hajer Bahouri

Download or read book Fourier Analysis and Nonlinear Partial Differential Equations written by Hajer Bahouri and published by Springer Science & Business Media. This book was released on 2011-01-03 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schrödinger equations. It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.

Harmonic Analysis, Partial Differential Equations, and Related Topics

Author : Estela A. Gavosto
Publisher : American Mathematical Soc.
ISBN 13 : 0821840932
Total Pages : 186 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Harmonic Analysis, Partial Differential Equations, and Related Topics by : Estela A. Gavosto

Download or read book Harmonic Analysis, Partial Differential Equations, and Related Topics written by Estela A. Gavosto and published by American Mathematical Soc.. This book was released on 2007 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of contributed articles comprises the scientific program of the fifth annual Prairie Analysis Seminar. All articles represent important current advances in the areas of partial differential equations, harmonic analysis, and Fourier analysis. A range of interrelated topics is presented, with articles concerning Painleve removability, pseudodifferential operators, $A p$ weights, nonlinear Schrodinger equations, singular integrals, the wave equation, the Benjamin-Ono equation, quasi-geostrophic equations, quasiconformal mappings, integral inclusions, Bellman function methods, weighted gradient estimates, Hankel operators, and dynamic optimization problems. Most importantly, the articles illustrate the fruitful interaction between harmonic analysis, Fourier analysis, and partial differential equations, and illustrate the successful application of techniques and ideas from each of these areas to the others.

Advances in Harmonic Analysis and Partial Differential Equations

Author : Donatella Danielli
Publisher : American Mathematical Soc.
ISBN 13 : 1470448963
Total Pages : 200 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Advances in Harmonic Analysis and Partial Differential Equations by : Donatella Danielli

Download or read book Advances in Harmonic Analysis and Partial Differential Equations written by Donatella Danielli and published by American Mathematical Soc.. This book was released on 2020-04-09 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the AMS Special Session on Harmonic Analysis and Partial Differential Equations, held from April 21–22, 2018, at Northeastern University, Boston, Massachusetts. The book features a series of recent developments at the interface between harmonic analysis and partial differential equations and is aimed toward the theoretical and applied communities of researchers working in real, complex, and harmonic analysis, partial differential equations, and their applications. The topics covered belong to the general areas of the theory of function spaces, partial differential equations of elliptic, parabolic, and dissipative types, geometric optics, free boundary problems, and ergodic theory, and the emphasis is on a host of new concepts, methods, and results.

Geometric Harmonic Analysis V

Author : Dorina Mitrea
Publisher : Springer Nature
ISBN 13 : 3031315618
Total Pages : 1006 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Geometric Harmonic Analysis V by : Dorina Mitrea

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.

Harmonic Analysis in Phase Space

Author : G. B. Folland
Publisher : Princeton University Press
ISBN 13 : 0691085285
Total Pages : 288 pages
Book Rating : 4.6/5 (91 download)

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Book Synopsis Harmonic Analysis in Phase Space by : G. B. Folland

Download or read book Harmonic Analysis in Phase Space written by G. B. Folland and published by Princeton University Press. This book was released on 1989-03-21 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.