Guide To Generalized Functions

Name: Guide To Generalized Functions
Brand: Springer Nature Switzerland AG

Springer Nature Switzerland AG

A Guide to Generalized FunctionsLinear, Nonlinear, Random, and Infinite Dimensional Distributions\nAuthor(s): Ulu? apar\nFormat: Hardback\nPublisher: Springer Nature Switzerland AG, Switzerland\nImprint: Birkhauser\nISBN-13: 9783032091833, 978-3032091833\nSynopsis\nThe 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.\n\nThis 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 d.