A guide to generalized functions linear, nonlinear, random, and infinite dimensional distributions Ulug Çapar

Format:

Book

Author/Creator:

Çapar, Uluğ, author.

Language:

English

Subjects (All):

Theory of distributions (Functional analysis).

Physical Description:

1 online resource

Place of Publication:

Cham, Switzerland Birkhäuser [2026]

Summary:

"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"-- Springer Nature Link

Contents:

Linear distributions

Some applications of linear distributions

Non-linear distributions

Random distributions

Infinite dimensional distributions

Notes:

Includes bibliographical references

Online resource; title from PDF title page (Springer Nature Link, viewed June 11, 2026)

Other Format:

Print version Çapar, Uluğ Guide to generalized functions

ISBN:

9783032091840

3032091845

OCLC:

1594240276

Access Restriction:

Restricted for use by site license