Table of Contents
Table of Contents
Preface
Introduction
Chapter 1. On Ordinary and Standard Lebesgue Measures in R∞
Chapter 2. On Uniformly Distributed Sequences of an Increasing Family of Finite Sets in Infinite-Dimensional Rectangles
Chapter 3. Change of Variable Formula for the α-Ordinary Lebesgue Measure in R<sup>N</sup>
Chapter 4. On Existence and Uniqueness of Generators of Shy Sets in Polish Groups
Chapter 5. On a Certain Criterion of Shyness for Subsets in the Product of Unimodular Polish Groups that are not Compact
Chapter 6. On Ordinary and Standard ”Lebesgue Measures” in Separable Banach Spaces
Chapter 7. On a Standard Product of an Arbitrary Family of σ-Finite Borel Measures with Domain in Polish Spaces
Chapter 8. On Strict Standard and Strict Ordinary Products of Measures and Some of their Applications
Chapter 9. On an Explicit Representation of a Particular Solution of the Non-Homogeneous Differential Equation of the Higher Order with Real Constant Coefficients
Chapter 10. An Invariant Measure for the Non-Homogeneous Ordinary Differential Equation of Infinite Order with Real Constant Coefficients
Chapter 11. Description of the Behaviour of von Foerster-Lasota Phase Motions in R∞ in Terms of Ordinary and Standard “Lebesgue Measures”
Chapter 12. On Uniformly Distributed Sequences on [− 1/2, 1/2]
Chapter 13. An Expansion into an Infinite-Dimensional Multiple Trigonometric Series of a Square Integrable Function in R∞
Chapter 14. On Questions of U. Darji and D. Fremlin
Chapter 15. On a Certain Modification of P. Erdös Problem for Translation-Invariant Quasi-Finite Diffused Borel Measures in Polish Groups that are not Locally Compact
Chapter 16. On a Certain Version of the Erdös Problem
Chapter 17. Appendix
References
Index
