Name: A Guide to Generalized Functions. Linear, Nonlinear, Random, and Infinite Dimensional Distributions
SKU: 64806126
Price: 71.67 USD
Availability: InStock
Author: Ulug Capar
ISBN: 9783032091833

portada A Guide to Generalized Functions. Linear, Nonlinear, Random, and Infinite Dimensional Distributions

A Guide to Generalized Functions. Linear, Nonlinear, Random, and Infinite Dimensional Distributions

Formato

Libro Físico

Editorial

Birkhauser

Autor

Ulug Capar

Año

2025

Encuadernación

Tapa Dura

Dimensiones

23.5x15.5 cm

ISBN13

9783032091833

A Guide to Generalized Functions. Linear, Nonlinear, Random, and Infinite Dimensional Distributions

Ulug Capar (Autor) · Birkhauser · Tapa Dura

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Reseña del libro "A Guide to Generalized Functions. Linear, Nonlinear, Random, and Infinite Dimensional Distributions"

The aim of the present work is to give a unifying treatment of the four faces of the theory of generalized functions – linear, nonlinear, random and infinite dimensional distributions. The book deals with all of these categories in a comparative and interconnected way, giving a broad overview without getting lost in too many details. This original presentation touches upon a number of mathematical areas, such as functional analysis, theory of functions, measure theory, operator theory, differentiable manifolds, probability theory, stochastic processes and stochastic analysis. For example, in one of the chapters it builds a bridge from Gaussian measures on Hilbert spaces, Malliavin calculus, Wiener chaos, Meyer-Watanabe distributions, Hida distributions and White Noise Analysis up to Kondratiev spaces, ending with Colombeau versions. Any researcher who is looking for an overview on the state-of-the art, or to specialize in the theory of distributions, will find this book a useful resource.