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Title: |
Selected Topics of Invariant Measures in Polish Groups |
Search Result:
| By (author): |
Gogi Pantsulaia |
| ISBN10-13: |
1629488313 : 9781629488318 |
| Format: |
Hardback |
| Size: |
260x180mm |
| Pages: |
233 |
| Weight: |
.580 Kg. |
| Published: |
Nova Science Publishers, Inc (US) - March 2014 |
| List Price: |
194.99 Pounds Sterling |
| Availability: |
In Stock
Qty Available: 1 |
| Subjects: |
Mathematics |
| This book explores a number of new applications of invariant quasi-finite diffused Borel measures in Polish groups for a solution of various problems stated by famous mathematicians (for example, Carmichael, Erdos, Fremlin, Darji and so on). By using natural Borel embeddings of an infinite-dimensional function space into the standard topological vector space of all real-valued sequences, (endowed with the Tychonoff topology) a new approach for the construction of different translation-invariant quasi-finite diffused Borel measures with suitable properties and for their applications in a solution of various partial differential equations in an entire vector space is proposed. |
| Table of Contents: |
| Preface; Introduction; On Ordinary & Standard Lebesgue Measures in R∞; On Uniformly Distributed Sequences of an Increasing Family of Finite Sets in Infinite-Dimensional Rectangles; Change of Variable Formula for the α-Ordinary Lebesgue Measure in RN; On Existence & Uniqueness of Generators of Shy Sets in Polish Groups; On a Certain Criterion of Shyness for Subsets in the Product of Unimodular Polish Groups that are not Compact; On Ordinary & Standard ”Lebesgue Measures” in Separable Banach Spaces; On a Standard Product of an Arbitrary Family of σ-Finite Borel Measures with Domain in Polish Spaces; On Strict Standard & Strict Ordinary Products of Measures & Some of their Applications; On an Explicit Representation of a Particular Solution of the Non-Homogeneous Differential Equation of the Higher Order with Real Constant Coefficients; An Invariant Measure for the Non-Homogeneous Ordinary Differential Equation of Infinite Order with Real Constant Coefficients; Description of the Behaviour of von Foerster-Lasota Phase Motions in R∞ in Terms of Ordinary & Standard “Lebesgue Measures”; On Uniformly Distributed Sequences on [− 1/2, 1/2]; An Expansion into an Infinite-Dimensional Multiple Trigonometric Series of a Square Integrable Function in R∞; On Questions of U. Darji & D. Fremlin On a Certain Modification of P. Erdös Problem for Translation-Invariant Quasi-Finite Diffused Borel Measures in Polish Groups that are not Locally Compact; On a Certain Version of the Erdös Problem Appendix; References; Index. |
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