Singular Automorphic Forms

Jian-Shu Li
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Jian-Shu Li: University of Maryland

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 790-799 from Springer

Abstract: Abstract In the context of holomorphic forms on tube domains, singular automorphic forms were studied by Maass [Maa], Freitag [Fre], and Resnikoff [Res], among others. A holomorphic form is singular if it is annihilated by certain differential operator(s). It is known that this is the case if and only if all its “nondegenerate” Fourier coefficients vanish, and if and only if it has one of the “singular weights”. The equivalence of these properties are far from trivial, and they constitute some of the basic results in the theory.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_72

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