THE FORMULA FOR THE DIMENSION OF THE SPACES OF VECTOR-VALUED HOLOMORPHIC AUTOMORPHIC FORMS ON THE UNITARY GROUP SU (1,p)

Author:

KOJIMA Hisashi1

Affiliation:

1. Department of Mathematics The University of Electro-Communications

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Reference18 articles.

1. [1] T. Arakawa. On certain automorphic forms of SP (1,q). Automorphic Forms of Several Variables (Taniguchi symposium, Katata, 1983). Birkhäuser, 1984, pp.1-48.

2. [2] L. Cohn. The dimension of spaces of automorphic forms on a certain two-dimensional complex domain. Amer. Math. Soc. Mem. 158(1975), 1-96.

3. [3] H. Garland and M. S. Raghunathan. Fundamental domains for lattices in (R)-rank 1 semisimple Lie groups. Ann. Math. 92(1970), 279-326.

4. [4] R. Godement. Fonctions holomorphes de carré sommable dans le demi-plan de Siegel, Generalites sur les formes modulaires, I, II. Serie de Poincare et Spitzenformen, Seminaire Henri Cartan, 1957-58. exp 5-10.

5. [5] Harish-Chandra. Discrete series for semi-simple Lie groups II: Explicit determination of the characters. Acta Math. 116(1966), 1-111.

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1. On vector-valued automorphic forms on bounded symmetric domains;Annals of Global Analysis and Geometry;2018-10-01

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