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Generalized Functions, Volume 1

representation theory. Volume 1 is devoted to basics of the theory of generalized functions. The first chapter contains main definitions and most;

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Generalized Functions, Volumes 1-6

The first systematic theory of generalized functions (also known as distributions) was created in the early 1950s, although some aspects;

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Generalized Calculus with Applications to Matter and Forces

dimensions. The text introduces the two main approaches to generalized functions: (1) as a nonuniform limit of a family of ordinary functions, and (2;

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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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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 and Fourier Analysis

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and;

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Generalized Functions and Fourier Analysis

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and;

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Generalized Associated Legendre Functions And Their Applications

, the Bessel, Macdonald, Legendre, Whittaker, Kummer, Tricomi and Wright functions, the generalized hypergeometric functions Fq, Meijer's G;

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Stochastic Tools in Turbulence

undergraduates and graduate students will find its use of generalized functions a relatively simple method of resolving mathematical questions. It will;

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Asymptotic Behavior Of Generalized Functions

applications. In this book, such impulses originate from the use of slowly varying functions and the asymptotic behavior of generalized functions. The;

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Generalized Hypergeometric Functions

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Generalized Hypergeometric Functions

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Generalized Hypergeometric Functions

The theory of generalized hypergeometric functions is fundamental in the field of mathematical physics, since all the commonly used;

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Generalized Linear Models

This volume describes how to conceptualize, perform, and critique traditional generalized linear models (GLMs) from a Bayesian perspective;

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[set Fundamentals of Set and Number Theory, Vol 1]2]

is also included here as the third fundamental part of contemporary mathematics.The material about sets and numbers is placed in Volume 1 and the;

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Singular Differential Equations and Special Functions

fractions lead to more than 20 special functions; among these is given greater attention to generalized circular, hyperbolic, Airy, Bessel and;

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Distributions, Fourier Transforms And Some Of Their Applications To Physics

is defined for functions and generalized to distributions, while the Green function is defined as the outstanding application of distributions. Using;

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Special Functions and Generalized Sturm-Liouville Problems

generalized Sturm-Liouville problems in three different spaces: continuous, discrete, and q-discrete spaces, focusing on special functions that are;

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iSmooth Analysis

of functions and establishes relations with other derivatives, such as the Sobolev generalized derivative and the generalized derivative of the;

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Transmutation Operators and Applications

, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications;

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Transmutation Operators and Applications

, harmonic analysis, potential theory, and generalized analytic functions. This volume explores recent advances in the construction and applications;

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Boolean Logic, Expressions and Theories

logic. LLT is closely related to infinitary logics, which have been investigated extensively. Lastly, generalized Boolean functions are;

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Pseudo Differential Operators and Generalized Functions

This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential;

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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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Pseudo-Differential Operators and Generalized Functions

This book gathers peer-reviewed contributions representing modern trends in the theory of generalized functions and pseudo-differential;

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Nonlinear Analysis, Differential Equations, and Applications

differential equations, partial differential equations, stochastic differential equations, optimization theory, network games, generalized Nash;

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