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2031-09.pdf | 1.52 MB | Adobe PDF | 見る/開く |
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DCフィールド | 値 | 言語 |
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dc.contributor.author | 示野, 信一 | ja |
dc.contributor.alternative | Shimeno, Nobukazu | en |
dc.contributor.transcription | シメノ, ノブカズ | - |
dc.date.accessioned | 2019-03-07T05:44:06Z | - |
dc.date.available | 2019-03-07T05:44:06Z | - |
dc.date.issued | 2017-05 | - |
dc.identifier.issn | 1880-2818 | - |
dc.identifier.uri | http://hdl.handle.net/2433/236745 | - |
dc.description.abstract | We give an example of vector-valued analogue of the theory of the Heckman-Opdam hypergeometric function associated with a root system. We construct matrix-valued commuting differential operators associated with root system of type A_{2} and their joint eigenfunctions. In group case, the differential operators are radial parts of invariant differential operators on a certain homogeneous vector bundle over a Riemannian symmetric space and the radial part of a matrix coefficient of a principal series representation gives a joint eigenfunction that is analytic at the origin. Allowing the root multiplicity to be an arbitrary complex number, we give matrix-valued commuting differential operators and connection coefficients (c-functions) for their joint eigenfunctions given by power series. | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | jpn | - |
dc.publisher | 京都大学数理解析研究所 | ja |
dc.publisher.alternative | Research Institute for Mathematical Sciences, Kyoto University | en |
dc.subject.ndc | 410 | - |
dc.title | Matrix-valued commuting differential operators and their joint eigenfunctions (Various Issues relating to Representation Theory and Non-commutative Harmonic Analysis) | en |
dc.type | departmental bulletin paper | - |
dc.type.niitype | Departmental Bulletin Paper | - |
dc.identifier.ncid | AN00061013 | - |
dc.identifier.jtitle | 数理解析研究所講究録 | ja |
dc.identifier.volume | 2031 | - |
dc.identifier.spage | 107 | - |
dc.identifier.epage | 123 | - |
dc.textversion | publisher | - |
dc.sortkey | 09 | - |
dc.address | 関西学院大学理工学部 | ja |
dc.address.alternative | School of Science & Technology, Kwansei Gakuin University | en |
dcterms.accessRights | open access | - |
dc.identifier.jtitle-alternative | RIMS Kokyuroku | en |
出現コレクション: | 2031 表現論と非可換調和解析をめぐる諸問題 |
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