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A Guide to Generalized Functions
- Linear, Nonlinear, Random, and Infinite Dimensional Distributions
Engelsk
Bogcover for A Guide to Generalized Functions af Ulug Capar, 9783032091833
Specifikationer
Sprog:
Engelsk
ISBN-13:
9783032091833
Indbinding:
Hardback
ISBN-10:
3032091837
Udg. Dato:
10 dec 2025
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
10 dec 2025
Forfatter(e):

A Guide to Generalized Functions

- Linear, Nonlinear, Random, and Infinite Dimensional Distributions
Engelsk
Hardback 2025
Format:

Bog beskrivelse
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.
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Specifikationer
Sprog:
Engelsk
ISBN-13:
9783032091833
Indbinding:
Hardback
ISBN-10:
3032091837
Udg. Dato:
10 dec 2025
Størrelse i cm:
23,5 x 15,5
Oplagsdato:
10 dec 2025
Forfatter(e):
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