Book
On same Quasiinvariant Measures and dynamical systems in Infinite-Dimensional Vector Spaces: Mathematical cybernetics; Dissertation/ Ggi Pantsulaia; Scientific consultant:Alexander Kharazishvili; Georgian Tecnical University; Departament of Mathematcs no.63.
Record details
- Physical Description: 182 p.
- Publisher: Tbilisi: [გ.გ.], 2003.
Content descriptions
| Dissertation Note: | Dissertation for the doctor of physical and mathematical sciences degree. |
| Bibliography, etc. Note: | Bibliography: p.172-182. |
| Formatted Contents Note: | 0.Prefase--1.Basic concepts--2.Dynamical systems and their prperties--3.Gaussian measures in infnite-dimensional topological vector spaces--4.Construction f Borel product-measures on R1 by the methodes of the Haar measure theory and some of their applications--5.Invariant Borel measures in the topological vector spase Rn--6.Existence of invariant and quasiinvariant Radon measures in the vector space R 1-7.Invariant Borel measures on the nonsarable Banach spase --8--Property of esential uniqueness for invariant measures--9.On Erdos-Sierpunski duality principle and Steinhaus property in infinte-dimensional topological vector spaces--10.On strict transitivity property for infinite-dimensional topologicl vector spaces--11.Independent families of sets and some of their application in measue theory--12.Separated families of probablity measures--Bibliography. |
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| Subject: | Mathematical cybernetics |
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