Selected Topics of an Infinite-Dimensional Classical Analysis
( Physics Research and Technology )
Publication series ：Physics Research and Technology
Author： Gogi Pantsulaia (Georgian Technical University Tbilisi Georgia)
Publisher： Nova Science Publishers, Inc.
Publication year： 2014
E-ISBN: 9781619427181
Subject： O189.12 维论
Keyword： Physics
Language： ENG
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Description
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.