Title Statements
- Full title :Measures on Infinite Dimensional Spaces
Edition Statements
- Publication Date:1985.
Publication Statements
- Publisher(s):World Scientific Publishing Co Pte Ltd
- Place of Publication:Singapore
- Language:eng
- Publication Date:1985.
The Physical Object
- Description:1 online resource (268 pages)
Edition Identifiers
- ISBN:9789814415279, 9814415278
- oclc:on1108524650
- LC Classification:QA312.Y36 1985
- Dewey Decimal:515.4/2
Table of Contents
Intro; CONTENTS; INTRODUCTORY NOTE; MEASURES ON INFINITE DIMENSIONAL SPACES; PART A EXTENDABILITY OF A FAMILY OF MEASURESTO A ơ-ADDITIVE M; PART A Extendability of a family of measures to a ơ-additive measure (Kolmogorov-Bochner-Minlos theory); Introduction; CHAPTER 1. PRELIMINARY DISCUSSIONS; 1. Explanation of the problem; 2. Tychonov's theorem; 3. Hopf's theorem; CHAPTER 2. DIRECT PRODUCT AND PROJECTIVE LIMIT; 4. Measurable spaces, their product and limit; 5. Extension problems and counter examples; 6. Extension theorem for direct product; 7. Extension theorem for projective limit
8. Non-countable direct product and projective limit9. Compact regular measurable space; 10. Borel field; 11. Baire field; 12. Product measure; 13. Suslin set, Luzin set; 14. Standard measurable space; CHAPTER 3. MEASURES ON VECTOR SPACES; 15. Explanation of the problem; 16. Relation with Bochner's theorem; 17. Minlos1 theorem; 18. Sazonov topology; 19. Supplementary results; 20. Nuclear space; 21. Heredity; 22. Dual space; Appendix. Definition of nuclearity without using Hilbertiansemi-norms; NOTE
PART B INVARIANCE AND QUASI-INVARIANCE OF MEASURES ON INFINITE DIMENSIONAL SPACESIntroduction; CHAPTER …
Writers
No reviews yet. Be the first to rate this work.
Files & Downloads
-
Measures On Infinite Dimensional Spaces -- (.pdf)
PDF · 6.4 MB · updated -
Measures On Infinite Dimensional Spaces -- (.djvu)
DJVU · 3.2 MB · updated
Rate & Review