Selected Topics of an Infinite-Dimensional Classical Analysis

ISBN: 9781619427181 出版年：2012 页码：197 Gogi Pantsulaia Nova Science

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”.