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Selected Topics of an Infinite-Dimensional Classical Analysis

Autor Gogi Pantsulaia
en Limba Engleză Hardback – 25 sep 2012
This book explores a new concept of T-shy sets in Radon metric groups which is an extension of the concepts of null sets introduced by J.R. Christensen, J. Mycielski and B R Hunt, T Sauer and J A Yorke for Polish groups. This book considers various interesting applications of the theory of infinite-dimensional cellular matrices for a solution of various initial condition problems. It also includes several direct generalizations of well-known classical results (Lebesgue theorem, Weyl theorem, Rademacher theorem, etc.,) in terms of infinite-dimensional "Lebesgue measures".
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Specificații

ISBN-13: 9781619427174
ISBN-10: 1619427176
Pagini: 194
Ilustrații: Illustrations
Dimensiuni: 164 x 245 x 16 mm
Greutate: 0.43 kg
Ediția:New.
Editura: Nova Science Publishers Inc

Cuprins

Preface; Introduction; On Witsenhausen-Kalai constants for surface measures on a sphere; On strict standard & strict ordinary products of measures & some of their applications; On invariant extensions of the strict standard product of Haar measures with domains in Polish groups; An expansion into an infinite-dimensional multiple trigonometric series of a square integrable function in R8; On uniformly distributed sequences of an increasing family of finite sets in infinite-dimensional rectangles; On some applications of infinite-dimensional cellular matrices; On singularity of non-s-finite measures & transition kernels; On separation problem for the family of Borel & Baire G-powers of shift measures on R; OnT-SHY sets in Radon metric groups; On an equivalence of outer measures & measures on Polish spaces; Index.