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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 Calculus with Applications to Matter and Forces

Combining mathematical theory, physical principles, and engineering problems, Generalized Calculus with Applications to Matter and Forces;

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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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Methods of the Theory of Functions of Many Complex Variables

, along with the more salient facts from the theory of functions of real variables and the theory of generalized functions. Subsequent chapters;

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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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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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Generalized Associated Legendre Functions And Their Applications

functions.This book deals with the theory and applications of generalized associated Legendre functions of the first and the second kind, Pm,n (z) and Qm;

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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: Theory and Applications

Provides a more cohesive and sharply focused treatment of fundamental concepts and theoretical background material, with particular;

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Belief Functions: Theory and Applications

management; generalized information theory; image processing; material sciences; navigation.;

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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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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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Generalized Functions and Partial Differential Equations

This self-contained treatment develops the theory of generalized functions and the theory of distributions, and it systematically applies;

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Theory of Reproducing Kernels and Applications

, identifications of nonlinear systems, sampling theory, statistical learning theory and membership problems. Relationships among eigen-functions, initial;

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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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Pseudo-Regularly Varying Functions and Generalized Renewal Processes

which a basic theory is created, and finally further applications are provided. The authors present a generalized and unified approach to the;

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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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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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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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On a Class of Incomplete Gamma Functions with Applications

, and probability theory, whose solutions seem to defy even the most general classes of special functions. On a Class of Incomplete Gamma;

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Generalized Ordinary Differential Equations in Abstract Spaces and Applications

qualitative theory and on corresponding results for other types of differential equations, as well as the connection between Generalized Ordinary;

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Geometric Theory of Generalized Functions with Applications to General Relativity

Over the past few years a certain shift of focus within the theory of algebras of generalized functions (in the sense of J. F. Colombeau;

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The Theory of Distributions

This book is a self-contained introduction to the theory of distributions, sometimes called generalized functions. Most books on this;

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Asymptotics in Dynamics Geometry and PDEs Generalized Borel Summation

These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major;

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