A local Weyl's law, the angular distribution and multiplicity of cusp forms on product spaces

Authors:
Jonathan Huntley and David Tepper

Journal:
Trans. Amer. Math. Soc. **330** (1992), 97-110

MSC:
Primary 11F72; Secondary 11F55

MathSciNet review:
1053114

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Abstract: Let be a finite volume symmetric space with the product of half planes. Let be the Laplacian on the th half plane, and assume that we have a cusp form , so we have for . Let and let

**Theorem 1**.

**Theorem 2**.

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DOI:
https://doi.org/10.1090/S0002-9947-1992-1053114-X

Article copyright:
© Copyright 1992
American Mathematical Society