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.
| ISBN: | 9781629488318 |
| Publication date: | 1st March 2014 |
| Author: | Gogi Pantsulaia |
| Publisher: | Nova Science Publishers an imprint of Nova Science Publishers, Inc |
| Format: | Hardback |
| Pagination: | 233 pages |
| Series: | Mathematics Research Developments |
| Genres: |
Mathematics |