### Abstract

Explicit form of Fourier expansion of automorphic forms plays an important role in the theory. Here we investigate the case of SU(2,1) and give an explicit formula of generalized Whittaker functions for the standard representations of the group. Together with a result of [2], we obtain a form of fully developed Fourier expansion of automorphic forms belonging to arbitrary standard representations.

Original language | English |
---|---|

Pages (from-to) | 55-59 |

Number of pages | 5 |

Journal | Proceedings of the Japan Academy Series A: Mathematical Sciences |

Volume | 76 |

Issue number | 5 |

Publication status | Published - 2000 |

### Fingerprint

### Keywords

- Automorphic forms
- Fourier expansion
- Generalized Whittaker functions

### ASJC Scopus subject areas

- Mathematics(all)

### Cite this

**The generalized Whittaker functions for SU(2,1) and the Fourier expansion of automorphic forms.** / Ishikawa, Yoshihiro.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - The generalized Whittaker functions for SU(2,1) and the Fourier expansion of automorphic forms

AU - Ishikawa, Yoshihiro

PY - 2000

Y1 - 2000

N2 - Explicit form of Fourier expansion of automorphic forms plays an important role in the theory. Here we investigate the case of SU(2,1) and give an explicit formula of generalized Whittaker functions for the standard representations of the group. Together with a result of [2], we obtain a form of fully developed Fourier expansion of automorphic forms belonging to arbitrary standard representations.

AB - Explicit form of Fourier expansion of automorphic forms plays an important role in the theory. Here we investigate the case of SU(2,1) and give an explicit formula of generalized Whittaker functions for the standard representations of the group. Together with a result of [2], we obtain a form of fully developed Fourier expansion of automorphic forms belonging to arbitrary standard representations.

KW - Automorphic forms

KW - Fourier expansion

KW - Generalized Whittaker functions

UR - http://www.scopus.com/inward/record.url?scp=33747267538&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33747267538&partnerID=8YFLogxK

M3 - Article

VL - 76

SP - 55

EP - 59

JO - Proceedings of the Japan Academy Series A: Mathematical Sciences

JF - Proceedings of the Japan Academy Series A: Mathematical Sciences

SN - 0386-2194

IS - 5

ER -