1987 Fiscal Year Final Research Report Summary
RESEARCH ON FUNCTIONAL ANALYSIS
| Project/Area Number |
61302005
|
|---|
| Research Category |
Grant-in-Aid for Co-operative Research (A)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
解析学
|
|---|
| Research Institution | FACULTY OF SCIENCE, HOKKAIDO UNIVERSITY |
|---|
Principal Investigator |
KOSHI Shozo FACULTY OF SCIENCE, HOKKAIDO UNIVERSITY, PROFESSOR, 理学部, 教授 (40032792)
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
HAYASHI Mikihiro FACULTY OF SCIENCE, HOKKAIDO UNIVERSITY, ASSOCIATED PROFESSOR, 理学部, 助教授 (40007828)
NAKAZI Takahiko FACULTY OF SCIENCE, HOKKAIDO UNIVERSITY, ASSOCIATED PROFESSOR, 理学部, 助教授 (30002174)
OKAMOTO Kiyosato FACULTY OF SCIENCE, HIROSHIMA UNIVERSITY, PROFESSOR, 理学部, 教授 (60028115)
TAKAHASHI Yasuji COLLEGE OF MEDICAL TECHNOLOGY, OKAYAMA UNIVERSITY, PROFESSOR, 医療技術短期大学部, 教授 (30001853)
ANDO Tsuyoshi INSTITUTE OF APPLIED ELECTROCITY, HOKKAIDO UNIVERSITY, PROFESSOR, 応用電気研究所, 教授 (10001679)
|
|---|
| Project Period (FY) |
1986 – 1987
|
| Keywords | Locally compact Abelian group / douglas algebra / Hardy space theory / Measures on infinite dimensional spaces / Path integral / Riemann surfaces / Mobius functions / リーマン面 |
|---|
| Research Abstract |
GENERALIZATION OF F. AND M. RIESZ THEOREN IS OBTAINED AND IT IS FOUND THAT THE STRUCTURE OF A LOCALLY COMPACT ABELIAN GROUP DEPENDS ON THE PROPERTIES OF MEASURES OF ANALYTIC ON THE GROUP. RELATIONS OF HARDY SPACE THEOPY AND DOUGLAS ALGEBRA'S THEOREM ARE OBTAINED. (S.KOSHI, YUJI TAKAHASHI, K.IZUCHI)
ABSOLUTELY SUMMING OPERATORS ARE RELATED TO THE EXISTENCE OF COMPLEMENTED SUBSPACES IN BANACH SPACES. (YASUJI TAKAHASHI)
ORDER STRUCTURES IN OPERATORS OF HILBERT SPACES ARE CONSIDERED AND THE LEBESQUE DECOMPOSITION THEOREM IN THIS CASE IS OBTAINED. (T.ANDO)
IN HEAT EQUATIONS ON SYMMETRIC SPACES, A QUESTION WHETHER LAST TEMPARATURE DISTRIBUTION EXISTS OR NOT IS SOLVED. (K.OKAMOTO)
OTHER RESULTS : RIEMANN SURFACES, MOBIUS FUNCTIONS, CONVEX OPERATORS ON ORDERED SPACE, AND PATH INTEGRALS ARE OBJECTS OF OUR RESEARCH. (N. KOMURO, M. HATASHI, C. NARA, T. ICHINOSE, A. ARAI, H. YAMAGUCHI)
|
Research Products
(14 results)
