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Mathematical distribution theory --- Mathematical statistics --- Mathematical physics --- Distribution (Probability theory) --- Tables --- Tables.

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Spectral theory (Mathematics) --- Theory of distributions (Functional analysis) --- 51 --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis --- Hilbert space --- Measure theory --- Transformations (Mathematics) --- 51 Mathematics --- Mathematics --- Operator theory --- Mathematical distribution theory

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The aim of this book is to provide a comprehensive introduction to the theory of distributions, by the use of solved problems. Although written for mathematicians, it can also be used by a wider audience, including engineers and physicists.The first six chapters deal with the classical theory, with special emphasis on the concrete aspects. The reader will find many examples of distributions and learn how to work with them. At the beginning of each chapter the relevant theoretical material is briefly recalled. The last chapter is a short introduction to a very wide and important

Mathematical distribution theory --- Partial differential equations --- Theory of distributions (Functional analysis) --- Differential equations, Partial --- Distribution (Functional analysis) --- Distributions, Theory of (Functional analysis) --- Functions, Generalized --- Generalized functions --- Functional analysis --- 517.95 --- 517.982.4 --- 517.982.4 Theory of generalized functions (distributions) --- Theory of generalized functions (distributions) --- 517.95 Partial differential equations --- Problems, exercises, etc

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Ergodic theory. Information theory --- Mathematical distribution theory --- Fourier analysis --- Maximum entropy method --- Positive-definite functions --- Distributions, Positive-definite --- Positive-definite distributions --- Functions --- Entropy maximization --- Entropy maximum principle --- Maximization, Entropy --- Entropy (Information theory) --- Maximum principles (Mathematics) --- Analysis, Fourier --- Mathematical analysis --- Functions, Continuous --- Fonctions continues --- Entropie maximale, Méthode d' --- Fourier, Analyse de --- Fonctions continues. --- Entropie maximale, Méthode d'. --- Fourier, Analyse de.

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517.44 --- 517.98 --- 517.98 Functional analysis and operator theory --- Functional analysis and operator theory --- 517.44 Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Integral transforms. Operational calculus. Laplace transforms. Fourier integral. Fourier transforms. Convolutions --- Functional analysis --- Harmonic analysis. Fourier analysis --- Mathematical distribution theory