Generalized Analytic Automorphic Forms for some Arithmetic Congruence subgroups of the Vahlen group on the n-Dimensional Hyperbolic Space
نویسنده
چکیده
This paper deals with a new analytic type of vectorand Clifford algebra valued automorphic forms in one and two vector variables. For hypercomplex generalizations of the classical modular group and their arithmetic congruence subgroups Eisensteinand Poincaré type series that are annihilated by Dirac operators, and more generally, by iterated Dirac operators on the upper half-space of Rn are discussed. In particular we introduce (poly-)monogenic modular forms on hypercomplex generalizations of the classical theta group. MSC Classification: 11 F 03, 30 G 35, 11 F 55.
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