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Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
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by
Murray Spiegel, Spiegel Murray
Ace your course in Fourier analysis with this powerful study guide! With its clear explanations, hundreds of fully solved problems, and comprehensive coverage of the applications of Fourier series, this useful tool can sharpen your problem-solving skills, improve your comprehension, and reduce the time you need to spend studying. It also includes ...
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Fourier Analysis
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by
T W Korner
Fourier analysis is a subject that was born in physics but grew up in mathematics. Now it is part of the standard repertoire for mathematicians, physicists and engineers. In most books, this diversity of interest is often ignored, but here Dr Korner has provided a shop-window for some of the ideas, techniques and elegant results of Fourier ...
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A handbook of Fourier theorems
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by
Champeney
This book is concerned with the well-established mathematical technique known as Fourier analysis (or alternatively as harmonic or spectral analysis). It is a handbook comprising a collection of the most important theorems in Fourier analysis, presented without proof in a form that is accurate but also accessible to a reader who is not a ...
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Fourier Analysis and Its Applications
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by
Gerald B Folland
This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level suitable for advanced undergraduates. It includes material on Bessel functions, orthogonal polynomials, and Laplace transforms, and it concludes with chapters on generalized functions and Green's functions for ...
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Chebyshev & Fourier Spectral Methods
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by
J P Boyd
Completely revised text focuses on use of spectral methods to solve boundary value, eigenvalue, and time-dependent problems, but also covers Hermite, Laguerre, rational Chebyshev, sinc, and spherical harmonic functions, as well as cardinal functions, linear eigenvalue problems, matrix-solving methods, coordinate transformations, spherical and ...
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The FFT: Fundamentals and Concepts
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by
Robert W Ramirez
Simple and concise discussion of both Fourier Theory and the FFT (fast fourier transform) are provided.
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Applied Fourier Analysis
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by
Hwei P Hsu, Kenneth J Hsu
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Fourier Integral and Its Applications
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by
Athanasios Papoulis
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Fourier Analysis of Time Series: An Introduction
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by
Peter Bloomfield
A new, revised edition of a yet unrivaled work on frequency domain analysis Long recognized for his unique focus on frequency domain methods for the analysis of time series data as well as for his applied, easy-to-understand approach, Peter Bloomfield brings his well-known 1976 work thoroughly up to date. With a minimum of mathematics and an ...
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A First Course in Fourier Analysis
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by
David W Kammler
This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, ...
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Fourier Analysis and Its Applications
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by
Anders Vretblad
This book is a carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, ...
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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 Wavelets with Fourier Analysis
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by
Albert Boggess, Francis J Narcowich
Presenting the subject from the point of view of signal analysis, "A First Course in Wavelets with Fourier Analysis, 2nd Edition" provides a self-contained mathematical treatment of the subject that is accessible to a broad audience. Expanded applications to signal processing, exercises, and complete proofs of the presented theory, as well as ...
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The Analysis of Linear Partial Differential Operators I: Distribution Theory & Fourier Analysis
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by
L Hormander
Due to popular demand this classic presentation of a vast amount on linear partial differential equations by a consummate master of the subject is now available as a study edition. The main change in this new edition is the inclusion of exercises with answers and hints. That is meant to emphasize that this volume can perfectly serve as a general ...
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Introduction to Fourier Analysis
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by
Norman Morrison
Contains 36 lectures solely on Fourier analysis and the FFT. Time and frequency domains, representation of waveforms in terms of complex exponentials and sinusoids, convolution, impulse response and the frequency transfer function, modulation and demodulation are among the topics covered. The text is linked to a complete FFT system on the ...
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Weyl Transforms
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by
Man Wah Wong
The functional analytic properties of Weyl transforms as bounded linear operators on $ L^a2u(aBbb Ru^anu) $ are studied in terms of the symbols of the transforms. The boundedness, the compactness, the spectrum and the functional calculus of the Weyl transform are proved in detail. New results and techniques on the boundedness and compactness of ...
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Integration and Probability
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by
Paul Malliavin, L Kay (Translator)
This book is designed to be an introduction to analysis with the proper mix of abstract theories and concrete problems. It starts with general measure theory, treats Borel and Radon measures (with particular attention paid to Lebesgue measure) and introduces the reader to Fourier analysis in Euclidean spaces with a treatment of Sobolev spaces, ...
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Fourier Analysis and Applications: Filtering, Numerical Computation, Wavelets
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by
Claude Gasquet, Patrick Witomski, Robert Ryan
This applied mathematic text focuses on Fourier analysis, filters and signal analysis. Scientists and engineers are confronted by the necessity of using classical mathematics such as Fourier transforms, convolution, distribution and more recently wavelet analysis in all areas of modelling. The object of this book is two-fold - on the one hand to ...
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Fourier Analysis and Boundary Value Problems
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by
Enrique A Gonzalez-Velasco (Editor)
"Fourier Analysis and Boundary Value Problems" provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with ...
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Fourier Analysis
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by
T Stuart Walker, James S Walker
Fourier analysis is a mathematical technique for decomposing a signal into identifiable components. It is used in the study of all types of waves. This book explains the basic mathematical theory and some of the principal applications of Fourier analysis, in areas ranging from sound and vibration to optics and CAT scanning. The author provides in ...
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Theory of Function Spaces II
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by
H Triebel
"Theory of Function Spaces II" deals with the theory of function spaces of type Bspq and Fspq as it stands at the present. These two scales os spaces cover many well-known function spaces such as Holder-Zygmund spaces, (fractional) Sobolev spaces, Besov spaces, inhomogeneous Hardy spaces, spaces of BMO-type and local approximation spaces which are ...
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Fourier Descriptors and Their Applications in Biology
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Pete E Lestrel (Editor)
The purpose of this book is to introduce Fourier descriptors as a method for measuring the shape of whole or parts of organisms. Fourier descriptors refer to the utilization of Fourier analysis, primarily the Fourier series as a curve-fitting technique, that can numerically describe the outline (shape) of irregular structures such as are commonly ...
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Fourier Analysis on Finite Groups and Applications
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by
Audrey Terras
This book gives a friendly introduction to Fourier analysis on finite groups, both commutative and non-commutative. Aimed at students in mathematics, engineering and the physical sciences, it examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research. With applications in chemistry, ...
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Digital Hearing AIDS
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by
Arthur Schaub
This reference provides information on the latest innovations in digital hearing aid technology. After an overview of foundational concepts, processing techniques are analyzed in detail, and specific technical aspects of digital processing are described. Each chapter begins with a brief overview and questions designed to orient the reader to the ...
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Fourier Analysis on Number Fields
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by
Professor Dinakar Ramakrishnan, Robert J Valenza
The general aim of this book is to provide a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. The more particular goal is to cover John Tate's visionary thesis, giving virtually all of the necessary analytic details and topological ...
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