Selected topics of an infinite-dimensional classical analysis
著者
書誌事項
Selected topics of an infinite-dimensional classical analysis
（Physics research and technology）
Nova Science Publishers, c2012
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注記
Includes bibliographical references (p. [165]-180) and index
内容説明・目次
内容説明
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".
目次
- 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.
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