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| Title: | Invariant & Quasiinvariant Measures in Infinite-Dimensional Topological Vector Spaces
|
| Author: | Gogi Pantsulaia |
| ISBN: | 1600217192 : 9781600217197 |
| Format: | Hardback |
| Size: | 180x260mm |
| Pages: | 234 |
| Weight: | .604 Kg. |
| Published: | Nova Science Publishers - October 2007 |
| List Price: | 85.99 Pounds Sterling |
| Availability: | In Print |
| Subjects: | MATHEMATICS |
This monograph deals with certain aspects of the general theory of systems. The author develops the ergodic theory, which is the theory of quaslinvariant and invariant measures in such infinite-dimensional vector spaces which appear as models of various (physical, economic, genetic, linguistic, social, etc.) processes. The methods of ergodic theory are successful as applied to study properties of such systems. A foundation for ergodic theory was stimulated by the necessity of a consideration of statistic mechanic problems and was directly connected with the works of G. Birkhoff, Kryloff and Bogoliuboff, E. Hoph and other famous mathematicians.
Introduction; Basic Concepts; Gaussian Measures; Dynamical Systems; Borel Product-measures in RI; Invariant Borel Measures in RN; On Quasiinvariant Radon Measures in RI; On Partial Analogies of Lebesque Measures; On Essential Uniqueness; On Erdös-Sierpi'nski Duality Principle; On Strict Transitivity Property; Invariant Extensions of Haar Measures; Separated Families of Probability Measures; On Ostrogradsky's Formula in '2; On Generalised Fourier Series; Appendix; Index.
