Fundamental approach of Fourier analysis.
| Project/Area Number |
62540130
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| Research Category |
Grant-in-Aid for General Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Research Field |
解析学
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| Research Institution | University of Osaka Prefecture |
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Principal Investigator |
KAMO Shizuo (1989) University of Osaka Prefecture, 総合科学部, 助教授 (30128764)
米田 薫 (1987-1988) 大阪府立大学, 総合科学部, 助教授 (80079029)
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| Co-Investigator(Kenkyū-buntansha) |
加茂 静夫 大阪府立大学, 総合科学部, 助教授 (30128764)
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| Project Period (FY) |
1987 – 1989
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| Project Status |
Completed (Fiscal Year 1989)
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| Budget Amount *help |
¥2,100,000 (Direct Cost: ¥2,100,000)
Fiscal Year 1989: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1988: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1987: ¥900,000 (Direct Cost: ¥900,000)
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| Keywords | Fourier analysis / Walsh function / Fourier series / 連続体仮設 / ハウスドルフのgap / almost coinciding family / フーリェ級数 / 概収束 / 有界変分 / ウェルシュ・フーリェ解析 / 単一性 |
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| Research Abstract |
The first year. We got several results about the notion of convergence of Fourier series. And, we established a fundamental theong of pseudo- measure.
The next year. Because of changing the head investigator, we got nothing about the notion of convergence of Fourier series. Related to pseudo-measure, we got some results and questions in which were connected with topological properties.
The last year. We solved a one of the above questions. ( It is independent from usual mathematical assumptions.)
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Report
(3 results)
Research Products
(14 results)
