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Generalized Functions and Fourier Analysis

Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume;

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Generalized Functions and Fourier Analysis

Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis. The volume;

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First Course In Fourier Analysis

continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these;

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Distributions, Fourier Transforms And Some Of Their Applications To Physics

of view that leads straight to generalized fourier transforms and systems of special functions like spherical harmonics, Hermite, Laguerre, and;

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Methods of the Theory of Generalized Functions

This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and;

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Methods of the Theory of Generalized Functions

This volume presents the general theory of generalized functions, including the Fourier, Laplace, Mellin, Hilbert, Cauchy-Bochner and;

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Generalized Functions, Volume 1

1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and;

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Principles of Fourier Analysis

development of Fourier series, classical Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the;

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Principles of Fourier Analysis

development of Fourier series, classical Fourier transforms, generalized Fourier transforms and analysis, and the discrete theory. Much of the;

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Asymptotic Behavior Of Generalized Functions

The asymptotic analysis has obtained new impulses with the general development of various branches of mathematical analysis and their;

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Fourier Analysis and Its Applications

This book presents the theory and applications of Fourier series and integrals, eigenfunction expansions, and related topics, on a level;

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An Introduction to Fourier Analysis

This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields;

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An Introduction to Fourier Analysis

This book helps students explore Fourier analysis and its related topics, helping them appreciate why it pervades many fields;

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Nonlinear Ocean Waves and the Inverse Scattering Transform

of linear wave trains. Nonlinear Ocean Waves and the Inverse Scattering Transform presents the development of the nonlinear Fourier analysis;

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Generalized Harmonic Analysis and Wavelet Packets

methods in this book should be of interest to graduate and researchers working in special functions such as Fourier analysis, hypergroup and;

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Stochastic Tools in Turbulence

dimensions. Extensive appendixeswhich include information on Fourier transforms, tensors, generalized functions, and invariant theorycontribute;

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Clifford Algebras and Their Applications in Mathematical Physics

, and fluid dynamics to Fourier analysis, the study of boundary value problems, and applications, to mathematical physics and Schwarzian;

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Fourier Analysis

trigonometric functions. Fourier analysis grew from the study of Fourier series, and is named after Joseph Fourier, who showed that representing a;

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Generalized Trigonometric and Hyperbolic Functions

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative;

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Generalized Functions, Volumes 1-6

1958 and 1966, gives an introduction to generalized functions and presents various applications to analysis, PDE, stochastic processes, and;

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Vistas Of Special Functions

-function), Bessel functions, an introduction to Fourier analysis, finite Fourier series, Dirichlet L-functions, the rudiments of complex functions;

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Fourier and Wavelet Analysis

This comprehensive volume develops all of the standard features of Fourier analysis - Fourier series, Fourier transform, Fourier sine and;

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The Theory of Distributions

delta function, generalized functions, dipoles, quadrupoles, pseudofunctions and Fourier transforms. The self-contained treatment does not;

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Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design

of spectral methods. Fourier Analysis on Finite Groups with Applications in Signal Processing and System Design examines aspects of Fourier analysis;

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iSmooth Analysis

Sobolev generalized derivative and the generalized derivative of distribution theory. Until now, i-smooth analysis has been developed mainly;

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Microlocal Analysis and Spectral Theory

of pseudo-differential operators, wave-front sets and Fourier integral operators have now conferred a mature form on the theory of linear partial;

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