Spectral multiplicity on products of hyperbolic spaces

Huntley, Jonathan

doi:10.1090/S0002-9939-1991-1031667-X

Spectral multiplicity on products of hyperbolic spaces
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by Jonathan Huntley PDF

Proc. Amer. Math. Soc. 111 (1991), 1-12 Request permission

Abstract:

Using Fourier expansions and an analysis of the Rayleigh quotient, we obtain an improved upper bound for the dimension of spaces of cusp forms when the symmetric space is a product of upper half spaces. In the rank-one case, some refinements are given.

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