2010 Fiscal Year Final Research Report
Integrals and special functions in representation theory
| Project/Area Number |
19204011
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Nagoya University |
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Principal Investigator |
OCHIAI Hiroyuki Nagoya University, 大学院・数理学研究院, 教授 (90214163)
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| Co-Investigator(Kenkyū-buntansha) |
ISHI Hideyuki 名古屋大学, 多元数理科学研究科, 准教授 (00326068)
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| Co-Investigator(Renkei-kenkyūsha) |
OSHIMA Toshio 東京大学, 大学院・数理科学研究科, 教授 (50011721)
KOBAYASHI Toshiyuki 東京大学, 大学院・数理科学研究科, 教授 (80201490)
WAKAYAMA Masato 九州大学, 大学院・数理学研究院, 教授 (40201149)
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| Project Period (FY) |
2007 – 2010
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| Keywords | 表現論 / 特殊関数 / 超幾何関数 |
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| Research Abstract |
The subject of this research is an integral and a sum arising in representation theory. We have obtained the differential equations, functional equations among these integrals and sums, and their expressions by a known special function in several cases. This frame is also efficient to work on the spectral problems of a systems of linear differential equation, a spectral zeta function as generating functions, and a multiple zeta function as a sum. This work is a step to a post-hypergeometric systems.
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