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Author : Leland Smith
Publisher :
ISBN 13 :
Total Pages : 212 pages
Book Rating : 4.F/5 ( download)
Download or read book Handbook of Harmonic Analysis written by Leland Smith and published by . This book was released on 1963 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John J. Benedetto
Publisher : CRC Press
ISBN 13 : 1000142213
Total Pages : 370 pages
Book Rating : 4.0/5 (1 download)
Download or read book Harmonic Analysis and Applications written by John J. Benedetto and published by CRC Press. This book was released on 2020-12-18 with total page 370 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 : Vladimir Ivanovich Krylov
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.F/5 ( download)
Download or read book Handbook of Numerical Harmonic Analysis written by Vladimir Ivanovich Krylov and published by . This book was released on 1969 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Brigitte Forster
Publisher : Springer Science & Business Media
ISBN 13 : 0817648909
Total Pages : 265 pages
Book Rating : 4.8/5 (176 download)
Download or read book Four Short Courses on Harmonic Analysis written by Brigitte Forster and published by Springer Science & Business Media. This book was released on 2010 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by internationally renowned mathematicians, this state-of-the-art textbook examines four research directions in harmonic analysis and features some of the latest applications in the field. The work is the first one that combines spline theory, wavelets, frames, and time-frequency methods leading up to a construction of wavelets on manifolds other than Rn. Four Short Courses on Harmonic Analysis is intended as a graduate-level textbook for courses or seminars on harmonic analysis and its applications. The work is also an excellent reference or self-study guide for researchers and practitioners with diverse mathematical backgrounds working in different fields such as pure and applied mathematics, image and signal processing engineering, mathematical physics, and communication theory.
Author : Wallace Berry
Publisher : Courier Corporation
ISBN 13 : 9780486253848
Total Pages : 482 pages
Book Rating : 4.2/5 (538 download)
Download or read book Structural Functions in Music written by Wallace Berry and published by Courier Corporation. This book was released on 1987-01-01 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brilliant investigation into musical structure through a systematic exploration of tonality, melody, harmony, texture, and rhythm. Discusses early madrigals and Gregorian chants through Bach, Beethoven, and Brahms to Ravel, Bartok, and Berg."
Author : Anton Deitmar
Publisher : Springer
ISBN 13 : 3319057928
Total Pages : 330 pages
Book Rating : 4.3/5 (19 download)
Download or read book Principles of Harmonic Analysis written by Anton Deitmar and published by Springer. This book was released on 2014-06-21 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a complete and streamlined treatment of the central principles of abelian harmonic analysis: Pontryagin duality, the Plancherel theorem and the Poisson summation formula, as well as their respective generalizations to non-abelian groups, including the Selberg trace formula. The principles are then applied to spectral analysis of Heisenberg manifolds and Riemann surfaces. This new edition contains a new chapter on p-adic and adelic groups, as well as a complementary section on direct and projective limits. Many of the supporting proofs have been revised and refined. The book is an excellent resource for graduate students who wish to learn and understand harmonic analysis and for researchers seeking to apply it.
Author : Henry Helson
Publisher : Springer Science & Business Media
ISBN 13 : 1461571812
Total Pages : 189 pages
Book Rating : 4.4/5 (615 download)
Download or read book Harmonic Analysis written by Henry Helson and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: The reader is assumed to know the elementary part of complex funCtion theory, general topology, integration, and linear spaces. All the needed information is contained in a usual first-year graduate course on analysis. These prerequisites are modest but essential. To be sure there is a big gap between learning the Banach-Steinhaus theorem, for example, and applying it to a real problem. Filling that gap is one of the objectives of this book. It is a natural objective, because integration theory and functional analysis to a great extent developed in response to the problems of Fourier series! The exposition has been condensed somewhat by relegating proofs of some technical points to the problem sets. Other problems give results that are needed in subsequent sections; and many problems simply present interesting results of the subject that are not otherwise covered. Problems range in difficulty from very simple to very hard. The system of numeration is simple: Sec. 3. 2 is the second section of Chapter 3. The second section of the current chapter is Sec. 2. Formula (3. 2) is the second formula of Sec. 3, of the current chapter unless otherwise mentioned. With pleasure I record the debt to my notes from a course on Real Variables given by R. Salem in 1945. I wish to thank R. Fefferman, Y. Katznelson, and A. 6 Cairbre for sympathetic criti cism of the manuscript. Mr. Carl Harris of the Addison-Wesley Publishing Company has been most helpful in bringing the book to publication.
Author : Elias M. Stein
Publisher : Princeton University Press
ISBN 13 : 140088392X
Total Pages : 712 pages
Book Rating : 4.4/5 (8 download)
Download or read book Harmonic Analysis (PMS-43), Volume 43 written by Elias M. Stein and published by Princeton University Press. This book was released on 2016-06-02 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an exposition of some of the main developments of the last twenty years in the following areas of harmonic analysis: singular integral and pseudo-differential operators, the theory of Hardy spaces, L\sup\ estimates involving oscillatory integrals and Fourier integral operators, relations of curvature to maximal inequalities, and connections with analysis on the Heisenberg group.
Author : Elena Prestini
Publisher : Birkhäuser
ISBN 13 : 1489979891
Total Pages : 377 pages
Book Rating : 4.4/5 (899 download)
Download or read book The Evolution of Applied Harmonic Analysis written by Elena Prestini and published by Birkhäuser. This book was released on 2016-12-01 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping exploration of the development and far-reaching applications of harmonic analysis such as signal processing, digital music, Fourier optics, radio astronomy, crystallography, medical imaging, spectroscopy, and more. Featuring a wealth of illustrations, examples, and material not found in other harmonic analysis books, this unique monograph skillfully blends together historical narrative with scientific exposition to create a comprehensive yet accessible work. While only an understanding of calculus is required to appreciate it, there are more technical sections that will charm even specialists in harmonic analysis. From undergraduates to professional scientists, engineers, and mathematicians, there is something for everyone here. The second edition of The Evolution of Applied Harmonic Analysis contains a new chapter on atmospheric physics and climate change, making it more relevant for today’s audience. Praise for the first edition: "...can be thoroughly recommended to any reader who is curious about the physical world and the intellectual underpinnings that have lead to our expanding understanding of our physical environment and to our halting steps to control it. Everyone who uses instruments that are based on harmonic analysis will benefit from the clear verbal descriptions that are supplied." — R.N. Bracewell, Stanford University “The book under review is a unique and splendid telling of the triumphs of the fast Fourier transform. I can recommend it unconditionally... Elena Prestini... has taken one major mathematical idea, that of Fourier analysis, and chased down and described a half dozen varied areas in which Fourier analysis and the FFT are now in place. Her book is much to be applauded.” — Society for Industrial and Applied Mathematics “This is not simply a book about mathematics, or even the history of mathematics; it is a story about how the discipline has been applied (to borrow Fourier’s expression) to ‘the public good and the explanation of natural phenomena.’ ... This book constitutes a significant addition to the library of popular mathematical works, and a valuable resource for students of mathematics.” — Mathematical Association of America Reviews
Author : mDecks Music
Publisher :
ISBN 13 : 9781791776640
Total Pages : 410 pages
Book Rating : 4.7/5 (766 download)
Download or read book The BB Jazz Standards Progressions Book Vol. I written by mDecks Music and published by . This book was released on 2018-12-16 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: (Fake Book). Perfect Binding Edition.This unprecedented, revolutionary collection of jazz standards progressions includes all harmonic progressions with full harmonic analysis, chords, chord-scales and arrows & brackets analysis.Every Jazz Standard analysis was hand-made by well-versed jazz musicians. Every function, chord-scale, modulation and pivot-chord was carefully chosen to create the best possible harmonic interpretation of the progression.All double-page songs are presented side-by-side, so no flipping through pages is necessary.Available for Concert, Bb & Eb Instruments.Volume I has 291 songs including All Blues * Autumn Leaves * All of Me * Blue Trane * Body and Soul * Desafinado * Donna Lee * Girl From Ipanema * It Don't Mean a Thing * Like Someone in Love * Misty * Moment's Notice * My Favorite Things * Prelude to a Kiss * Stella By Starlight * Wave * and hundreds more!
Author : Demeter Krupka
Publisher : Elsevier
ISBN 13 : 0080556736
Total Pages : 1243 pages
Book Rating : 4.0/5 (85 download)
Download or read book Handbook of Global Analysis written by Demeter Krupka and published by Elsevier. This book was released on 2011-08-11 with total page 1243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics- Written by world-experts in the field- Up-to-date contents
Author : Benjamin Cutter
Publisher :
ISBN 13 :
Total Pages : 152 pages
Book Rating : 4.A/5 ( download)
Download or read book Harmonic Analysis written by Benjamin Cutter and published by . This book was released on 1902 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Steven G. Krantz
Publisher : American Mathematical Soc.
ISBN 13 : 1470451123
Total Pages : 357 pages
Book Rating : 4.4/5 (74 download)
Download or read book A Panorama of Harmonic Analysis written by Steven G. Krantz and published by American Mathematical Soc.. This book was released on 2019-07-03 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Panorama of Harmonic Analysis treats the subject of harmonic analysis, from its earliest beginnings to the latest research. Following both an historical and a conceptual genesis, the book discusses Fourier series of one and several variables, the Fourier transform, spherical harmonics, fractional integrals, and singular integrals on Euclidean space. The climax of the book is a consideration of the earlier ideas from the point of view of spaces of homogeneous type. The book culminates with a discussion of wavelets-one of the newest ideas in the subject. A Panorama of Harmonic Analysis is intended for graduate students, advanced undergraduates, mathematicians, and anyone wanting to get a quick overview of the subject of cummutative harmonic analysis. Applications are to mathematical physics, engineering and other parts of hard science. Required background is calculus, set theory, integration theory, and the theory of sequences and series.
Author : Gregory S. Chirikjian
Publisher : CRC Press
ISBN 13 : 1420041762
Total Pages : 698 pages
Book Rating : 4.4/5 (2 download)
Download or read book Engineering Applications of Noncommutative Harmonic Analysis written by Gregory S. Chirikjian and published by CRC Press. This book was released on 2000-09-28 with total page 698 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is sti
Author : Gerald B. Folland
Publisher : CRC Press
ISBN 13 : 9780849384905
Total Pages : 292 pages
Book Rating : 4.3/5 (849 download)
Download or read book A Course in Abstract Harmonic Analysis written by Gerald B. Folland and published by CRC Press. This book was released on 1994-12-27 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract theory remains an indispensable foundation for the study of concrete cases. It shows what the general picture should look like and provides results that are useful again and again. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory. A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a brief review of the relevant parts of Banach algebra theory and spectral theory, the book proceeds to the basic facts about locally compact groups, Haar measure, and unitary representations, including the Gelfand-Raikov existence theorem. The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications. The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups.
Author : Yitzhak Katznelson
Publisher : Cambridge University Press
ISBN 13 : 9780521543590
Total Pages : 342 pages
Book Rating : 4.5/5 (435 download)
Download or read book An Introduction to Harmonic Analysis written by Yitzhak Katznelson and published by Cambridge University Press. This book was released on 2004-01-05 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher description
Author : Anton Deitmar
Publisher : Springer Science & Business Media
ISBN 13 : 147573834X
Total Pages : 154 pages
Book Rating : 4.4/5 (757 download)
Download or read book A First Course in Harmonic Analysis written by Anton Deitmar and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces harmonic analysis at an undergraduate level. In doing so it covers Fourier analysis and paves the way for Poisson Summation Formula. Another central feature is that is makes the reader aware of the fact that both principal incarnations of Fourier theory, the Fourier series and the Fourier transform, are special cases of a more general theory arising in the context of locally compact abelian groups. The final goal of this book is to introduce the reader to the techniques used in harmonic analysis of noncommutative groups. These techniques are explained in the context of matrix groups as a principal example.
