Shintani Functions on 𝑆𝐿(3,𝐑)
We investigate the Shintani functions attached to the spherical and nonspherical principal series representations of 𝑆𝐿(3,𝐑). We give the explicit formulas of the radial part of Shintani functions and evaluate the dimension of the space of Shintani functions.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/842806 |
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| _version_ | 1832563040487211008 |
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| author | Keiju Sono |
| author_facet | Keiju Sono |
| author_sort | Keiju Sono |
| collection | DOAJ |
| description | We investigate the Shintani functions attached to the spherical and nonspherical principal series representations of 𝑆𝐿(3,𝐑). We give the explicit formulas of the radial part of Shintani functions and evaluate
the dimension of the space of Shintani functions. |
| format | Article |
| id | doaj-art-95d9ebd954814de3b85c97c92566b8fc |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-95d9ebd954814de3b85c97c92566b8fc2025-02-03T01:21:15ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/842806842806Shintani Functions on 𝑆𝐿(3,𝐑)Keiju Sono0Graduate School of Mathematical Sciences, The University of Tokyo, Komaba, Meguro, Tokyo 153-8914, JapanWe investigate the Shintani functions attached to the spherical and nonspherical principal series representations of 𝑆𝐿(3,𝐑). We give the explicit formulas of the radial part of Shintani functions and evaluate the dimension of the space of Shintani functions.http://dx.doi.org/10.1155/2011/842806 |
| spellingShingle | Keiju Sono Shintani Functions on 𝑆𝐿(3,𝐑) International Journal of Mathematics and Mathematical Sciences |
| title | Shintani Functions on 𝑆𝐿(3,𝐑) |
| title_full | Shintani Functions on 𝑆𝐿(3,𝐑) |
| title_fullStr | Shintani Functions on 𝑆𝐿(3,𝐑) |
| title_full_unstemmed | Shintani Functions on 𝑆𝐿(3,𝐑) |
| title_short | Shintani Functions on 𝑆𝐿(3,𝐑) |
| title_sort | shintani functions on 𝑆𝐿 3 𝐑 |
| url | http://dx.doi.org/10.1155/2011/842806 |
| work_keys_str_mv | AT keijusono shintanifunctionsonsl3r |