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A Course of Modern Analysis
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by
E T Whittaker
This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions.
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Time-Harmonic Electromagnetic Fields
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by
Harrington
'"Time-Harmonic Electromagnetic Fields" is a classic reissue in the "IEEE Press" series on Electromagnetic Wave Theory.' - Donald G. Dudley, Series Editor. 'When I begin a new research project, I clear my desk and put away all texts and reference books. Invariably, Harrington's book is the first book to find its way back to my desk. My copy is so ...
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The Harmonic Conquest of Space
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by
B. L. Cathie
Bruce Cathie's first book, Harmonic 33, was first published in 1968 when he was a commercial pilot in New Zealand. Since then Captain Bruce Cathie has been the premier investigator into the amazing potential of the infinite energy that surrounds our planet every microsecond. The Harmonic Conquest of Spacecontains all new material and further ...
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Statistical Theory of Communication
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by
Yuk Wing Lee
This clear and rigorous introduction offers a systematic account that covers all of the theory's basic elements. The author, a former professor of electrical engineering at MIT, was co-inventor of the synthesis of electric networks in the time domain and the frequency domain by means of orthonormal functions. 252 figures.
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An Introduction to Harmonic Analysis
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by
Yitzhak Katznelson
First published in 1968, An Introduction to Harmonic Analysis has firmly established itself as a classic text and a favorite for students and experts alike. Professor Katznelson starts the book with an exposition of classical Fourier series. The aim is to demonstrate the central ideas of harmonic analysis in a concrete setting, and to provide a ...
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Topics in Harmonic Analysis: Related to the Littlewood-Paley Theory
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Elias M. Stein
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The Fourier Transform and Its Applications
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by
Ronald N Bracewell
This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other Fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical world throughout this text, equipping students to think about the world and physics in terms of ...
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Acoustics and the Performance of Music: Manual for Acousticians, Audio Engineers, Musicians, Architects and Musical Instruments Makers
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by
Jurgen Meyer, MD, Uwe Hansen (Translator)
The objective of the book is to focus insights in the field of Acoustics of Musical Instruments, Room-Acoustics and Psycho-Acoustics on applications in musical performance. In this context, the directional dependence of sound radiation by musical instruments and the voice, as well as questions of concert hall design and room acoustical computer ...
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Generalized Harmonic Analysis and Tauberian Theorems
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Norbert Wiener
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An Elementary Treatise on Fourier's Series and Spherical, Cylindrical, and Ellipsoidal Harmonics: Wi
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by
William Elwood Byerly
This classic text is one of the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics. Includes 190 problems, approximately half with answers. 1893 edition.
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Abstract Harmonic Analysis: Volume 1: Structure of Topological Groups, Integration Theory, Group Representations
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by
Edwin Hewitt, Kenneth A Ross
Contents: Preliminaries. - Elements of the theory of topolo- gical groups. -Integration on locally compact spaces. - In- variant functionals. - Convolutions and group representa- tions. Characters and duality of locally compact Abelian groups. - Appendix: Abelian groups. Topological linear spa- ces. Introduction to normed algebras. - Bibliography. ...
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Sampling, Wavelets, and Tomography
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by
John Benedetto
Sampling, wavelets, and tomography are three active areas of contemporary mathematics sharing common roots that lie at the heart of harmonic and Fourier analysis. The advent of new techniques in mathematical analysis has strengthened their interdependence and led to some new and interesting results in the field. This state-of-the-art book not only ...
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A First Course in Harmonic Analysis
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by
Anton Deitmar
This book is a primer in harmonic analysis on the undergraduate level. It gives a lean and streamlined introduction to the central concepts of this beautiful and utile theory. In contrast to other books on the topic, A First Course in Harmonic Analysis is entirely based on the Riemann integral and metric spaces instead of the more demanding ...
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Harmonic Analysis on the Heisenberg Group
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by
Sundaram Thangavelu
The Heisenberg group plays an important role in several branches of mathematics, such as representation theory, partial differential equations, number theory, several complex variables and quantum mechanics. This monograph deals with various aspects of harmonic analysis on the Heisenberg group, which is the most commutative among the non ...
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Harmonic Analysis and Applications: In Honor of John J. Benedetto
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by
Christopher Heil (Editor)
John J. Benedetto has had a profound influence not only on the direction of harmonic analysis and its applications, but also on the entire community of people involved in the field. This self-contained volume in honor of John covers a wide range of topics in harmonic analysis and related areas, including weighted-norm inequalities, frame theory, ...
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Harmonic Analysis, Signal Processing, and Complexity: Festschrift in Honor of the 60th Birthday of Carlos A. Berenstein
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by
Irene Sabadini (Editor), Daniele C Struppa (Editor), David F Walnut (Editor)
Carlos A. Berenstein has had a profound influence on scholars and practitioners alike amid a distinguished mathematical career spanning nearly four decades. His uncommon capability of adroitly moving between these parallel worlds is demonstrated by the breadth of his research interests, from his early theoretical work on interpolation in spaces of ...
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Harmonic Analysis and the Theory of Probability
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by
Salomon Bochner
This classic text emphasizes the stochastic processes and the interchange of stimuli between probability and analysis. Non-probabilistic topics include Fourier series and integrals in many variables; the Bochner integral; and the transforms of Plancherel, Laplace, Poisson, and Mellin. Most notable is the systematic presentation of Bochner's ...
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Noncommutative Harmonic Analysis: In Honor of Jacques Carmona
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Patrick Delorme (Editor), Michele Vergne, Michhle Vergne (Editor)
This volume is devoted to the theme of Noncommutative Harmonic Analysis and consists of articles in honor of Jacques Carmona, whose scientific interests range through all aspects of Lie group representations. The topics encompass the theory of representations of reductive Lie groups, and especially the determination of the unitary dual, the ...
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An introduction to harmonic analysis on semisimple Lie groups
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by
Varadarajan
Now in paperback, this graduate-level textbook is an introduction to the representation theory of semi-simple Lie groups. As such, it will be suitable for research students in algebra and analysis, and for research mathematicians requiring a readable account of the topic. The author emphasizes the development of the central themes of the subject ...
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Operators, Functions, and Systems: An Easy Reading
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by
N K Nikol'skii
This unique work combines together in two volumes four formally distinct topics of modern analysis and its applications: Hardy classes of holomorphic functions; spectral theory of Hankel and Toeplitz operators; function models for linear operators and free interpolations; and, infinite-dimensional system theory and signal processing. "Volume 1, ...
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Introduction to Banach Algebras, Operators, and Harmonic Analysis
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Garth Dales, Pietro Aiena, Jorg Eschmeier
This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent ...
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Harmonic Analysis and Applications
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by
John J Benedetto (Editor), Bendetto
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 ...
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An Introduction to the Uncertainty Principle: Hardy's Theorem on Lie Groups
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by
Sundaram Thangavelu
The central theme of this work is the development of a number of analogs of Hardy's theorem, which is one interpretation of the mathematical Uncertainty Principle, in settings arising from noncommutative harmonic analysis. A tutorial introduction gives the requisite background material. The techniques used to prove the main results run the gamut ...
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Abstract harmonic analysis
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by
Edwin Hewitt, Kenneth A Ross
This book is a continuation of vol. I (Grundlehren vol. 115, also available in softcover), and contains a detailed treatment of some important parts of harmonic analysis on compact and locally compact abelian groups. From the reviews: "This work aims at giving a monographic presentation of abstract harmonic analysis, far more complete and ...
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Operator Algebras in Dynamical Systems
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by
Shoichiro Sakai, Shtichirt Sakai
This book is concerned with the theory of unbounded derivations in C*-algebras, a subject whose study was motivated by questions in quantum physics and statistical mechanics, and to which the author has made a considerable contribution. This is an active area of research, and one of the most ambitious aims of the theory is to develop quantum ...
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