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Author : Guido Weiss
Publisher :
ISBN 13 :
Total Pages : 438 pages
Book Rating : 4.:/5 (859 download)
Download or read book Harmonic Analysis in Euclidean Spaces written by Guido Weiss and published by . This book was released on 1983 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Guido Weiss
Publisher : American Mathematical Soc.
ISBN 13 :
Total Pages : 458 pages
Book Rating : 4.:/5 (318 download)
Download or read book Harmonic Analysis in Euclidean Spaces written by Guido Weiss and published by American Mathematical Soc.. This book was released on 1979 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, and Lie groups and functional analysis.
Author : Guido Weiss
Publisher : American Mathematical Soc.
ISBN 13 : 0821814389
Total Pages : 448 pages
Book Rating : 4.8/5 (218 download)
Download or read book Harmonic Analysis in Euclidean Spaces, Part 2 written by Guido Weiss and published by American Mathematical Soc.. This book was released on 1979 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Several complex variables, Pseudo differential operators and partial differential equations, Harmonic analysis in other settings: probability, martingales, local fields, and Lie groups and functional analysis.
Author : Guido L. Weiss
Publisher : American Mathematical Soc.
ISBN 13 : 9780821867945
Total Pages : 492 pages
Book Rating : 4.8/5 (679 download)
Download or read book Harmonic Analysis in Euclidean Spaces written by Guido L. Weiss and published by American Mathematical Soc.. This book was released on 1979-12-31 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains sections on Real harmonic analysis, Hardy spaces and BMO,Harmonic functions, potential theory and theory of functions of one complex variable
Author : Guido Weiss
Publisher : American Mathematical Soc.
ISBN 13 : 0821814362
Total Pages : 488 pages
Book Rating : 4.8/5 (218 download)
Download or read book Harmonic Analysis in Euclidean Spaces, Part 1 written by Guido Weiss and published by American Mathematical Soc.. This book was released on 1979 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elias M. Stein
Publisher : Princeton University Press
ISBN 13 : 140088389X
Total Pages : 312 pages
Book Rating : 4.4/5 (8 download)
Download or read book Introduction to Fourier Analysis on Euclidean Spaces (PMS-32), Volume 32 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-06-02 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors present a unified treatment of basic topics that arise in Fourier analysis. Their intention is to illustrate the role played by the structure of Euclidean spaces, particularly the action of translations, dilatations, and rotations, and to motivate the study of harmonic analysis on more general spaces having an analogous structure, e.g., symmetric spaces.
Author : Isaac Pesenson
Publisher : Birkhäuser
ISBN 13 : 3319555561
Total Pages : 510 pages
Book Rating : 4.3/5 (195 download)
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 510 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.
Author : Kenneth Hoffman
Publisher : Courier Dover Publications
ISBN 13 : 0486841413
Total Pages : 449 pages
Book Rating : 4.4/5 (868 download)
Download or read book Analysis in Euclidean Space written by Kenneth Hoffman and published by Courier Dover Publications. This book was released on 2019-07-17 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. Its introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Starting with an overview of the real number system, the text presents results for subsets and functions related to Euclidean space of n dimensions. It offers a rigorous review of the fundamentals of calculus, emphasizing power series expansions and introducing the theory of complex-analytic functions. Subsequent chapters cover sequences of functions, normed linear spaces, and the Lebesgue interval. They discuss most of the basic properties of integral and measure, including a brief look at orthogonal expansions. A chapter on differentiable mappings addresses implicit and inverse function theorems and the change of variable theorem. Exercises appear throughout the book, and extensive supplementary material includes a Bibliography, List of Symbols, Index, and an Appendix with background in elementary set theory.
Author : Guido Weiss
Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.:/5 (859 download)
Download or read book Harmonic Analysis in Euclidean Spaces written by Guido Weiss and published by . This book was released on 1983 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. J. Benedetto
Publisher : Lecture Notes in Mathematics
ISBN 13 :
Total Pages : 192 pages
Book Rating : 4.3/5 (91 download)
Download or read book Euclidean Harmonic Analysis written by J. J. Benedetto and published by Lecture Notes in Mathematics. This book was released on 1980-03 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some analytic problems related to statistical mechanics; On spectral synthesis in IRn, n . 2; Fourier analysis of multilinear convolutions, Calderon's theorem, and analysis on Lipschitz curves; The complex method for interpolation of operators acting on families of Banach spaces; Maximal functions.
Author : Audrey Terras
Publisher : Springer Science & Business Media
ISBN 13 : 146147972X
Total Pages : 430 pages
Book Rating : 4.4/5 (614 download)
Download or read book Harmonic Analysis on Symmetric Spaces—Euclidean Space, the Sphere, and the Poincaré Upper Half-Plane written by Audrey Terras and published by Springer Science & Business Media. This book was released on 2013-09-12 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text is an introduction to harmonic analysis on the simplest symmetric spaces, namely Euclidean space, the sphere, and the Poincaré upper half plane. This book is intended for beginning graduate students in mathematics or researchers in physics or engineering. Written with an informal style, the book places an emphasis on motivation, concrete examples, history, and, above all, applications in mathematics, statistics, physics, and engineering. Many corrections and updates have been incorporated in this new edition. Updates include discussions of P. Sarnak and others' work on quantum chaos, the work of T. Sunada, Marie-France Vignéras, Carolyn Gordon, and others on Mark Kac's question "Can you hear the shape of a drum?", A. Lubotzky, R. Phillips and P. Sarnak's examples of Ramanujan graphs, and, finally, the author's comparisons of continuous theory with the finite analogues. Topics featured throughout the text include inversion formulas for Fourier transforms, central limit theorems, Poisson's summation formula and applications in crystallography and number theory, applications of spherical harmonic analysis to the hydrogen atom, the Radon transform, non-Euclidean geometry on the Poincaré upper half plane H or unit disc and applications to microwave engineering, fundamental domains in H for discrete groups Γ, tessellations of H from such discrete group actions, automorphic forms, and the Selberg trace formula and its applications in spectral theory as well as number theory.
Author : Elias M. Stein
Publisher :
ISBN 13 : 9787510005329
Total Pages : 297 pages
Book Rating : 4.0/5 (53 download)
Download or read book Introduction to Fourier Analysis on Euclidean Spaces written by Elias M. Stein and published by . This book was released on 1971 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. J. Benedetto
Publisher :
ISBN 13 : 9783662178171
Total Pages : 184 pages
Book Rating : 4.1/5 (781 download)
Download or read book Euclidean Harmonic Analysis written by J. J. Benedetto and published by . This book was released on 2014-01-15 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.P. Khavin
Publisher : Springer Science & Business Media
ISBN 13 : 3662063018
Total Pages : 235 pages
Book Rating : 4.6/5 (62 download)
Download or read book Commutative Harmonic Analysis IV written by V.P. Khavin and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.
Author : Elias M. Stein
Publisher : Princeton University Press
ISBN 13 : 9780691084190
Total Pages : 444 pages
Book Rating : 4.0/5 (841 download)
Download or read book Beijing Lectures in Harmonic Analysis written by Elias M. Stein and published by Princeton University Press. This book was released on 1986-11-21 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on seven lecture series given by leading experts at a summer school at Peking University, in Beijing, in 1984. this book surveys recent developments in the areas of harmonic analysis most closely related to the theory of singular integrals, real-variable methods, and applications to several complex variables and partial differential equations. The different lecture series are closely interrelated; each contains a substantial amount of background material, as well as new results not previously published. The contributors to the volume are R. R. Coifman and Yves Meyer, Robert Fcfferman, Carlos K. Kenig, Steven G. Krantz, Alexander Nagel, E. M. Stein, and Stephen Wainger.
Author : Hershel M. Farkas
Publisher : Springer Science & Business Media
ISBN 13 : 1461440750
Total Pages : 563 pages
Book Rating : 4.4/5 (614 download)
Download or read book From Fourier Analysis and Number Theory to Radon Transforms and Geometry written by Hershel M. Farkas and published by Springer Science & Business Media. This book was released on 2012-09-18 with total page 563 pages. Available in PDF, EPUB and Kindle. Book excerpt: A memorial conference for Leon Ehrenpreis was held at Temple University, November 15-16, 2010. In the spirit of Ehrenpreis’s contribution to mathematics, the papers in this volume, written by prominent mathematicians, represent the wide breadth of subjects that Ehrenpreis traversed in his career, including partial differential equations, combinatorics, number theory, complex analysis and a bit of applied mathematics. With the exception of one survey article, the papers in this volume are all new results in the various fields in which Ehrenpreis worked . There are papers in pure analysis, papers in number theory, papers in what may be called applied mathematics such as population biology and parallel refractors and papers in partial differential equations. The mature mathematician will find new mathematics and the advanced graduate student will find many new ideas to explore.A biographical sketch of Leon Ehrenpreis by his daughter, a professional journalist, enhances the memorial tribute and gives the reader a glimpse into the life and career of a great mathematician.
Author : Boris Rubin
Publisher : CRC Press
ISBN 13 : 9780582253414
Total Pages : 428 pages
Book Rating : 4.2/5 (534 download)
Download or read book Fractional Integrals and Potentials written by Boris Rubin and published by CRC Press. This book was released on 1996-06-24 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. Beyond some basic properties of fractional integrals in one and many dimensions, it contains a mathematical theory of certain important weakly singular integral equations of the first kind arising in mechanics, diffraction theory and other areas of mathematical physics. The author focuses on explicit inversion formulae that can be obtained by making use of the classical Marchaudís approach and its generalization, leading to wavelet type representations.
