Study of multi-microlocalization and its applications
| Project/Area Number |
15K04887
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Hokkaido University |
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Principal Investigator |
Honda Naofumi 北海道大学, 理学研究院, 教授 (00238817)
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 超局所解析 / 多重特殊化 / 多重超局所解析 / チェックドルボーコホモロジー / 代数解析 / 多重超局所化 |
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| Outline of Final Research Achievements |
Multi-microlocalization is a method which enables us to microlocalize an object along several manifolds simultaneously. The purpose of this research is to extend this mothod to more general cases, and then, to establish a theory of multi-microlocal operators.
In the first two years of our research, we studied generalization of multi-specialization and succeeded in constructing multi-specialization for a general family of submanifolds located suitably. During the rest of the period, we studied applications of Cech-Dolbeault cohomology theory to the theory of hyperfunctions. We had several interesting results, which suggested us that the theory is very effective for a construction of multi-microlocal operators too.
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Report
(4 results)
Research Products
(13 results)
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[Journal Article] Multi-microlocalization2016
Author(s)
Naofumi Honda, Luca Prelli and Susumu Yamazaki
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Journal Title
Kokyuroku Bessatsu, RIMS
Volume: B57
Pages: 93-116
Related Report
Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
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