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Title: |
Selected Topics Of An Infinite-Dimensional Classical Analysis |
Search Result:
| By (author): |
Gogi Pantsulaia |
| ISBN10-13: |
1619427176 : 9781619427174 |
| Format: |
Hardback |
| Size: |
155x230mm |
| Pages: |
0 |
| Weight: |
.489 Kg. |
| Published: |
Nova Science Publishers, Inc (US) - September 2012 |
| List Price: |
141.99 Pounds Sterling |
| Availability: |
Temporarily Out of Stock, more expected soon
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| Subjects: |
Physics |
| 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". |
| Table of Contents: |
| 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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