Spectral square means for period integrals of wave functions on real hyperbolic spaces |
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Authors: | Masao Tsuzuki |
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Institution: | Department of Mathematics, Sophia University, Kioi-cho 7-1 Chiyoda-ku, Tokyo 102-8554, Japan |
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Abstract: | We study the period integrals of Laplace eigenfunctions on an arithmetic quotient X of the d-dimensional hyperbolic space along a fixed eigenfunction on an arithmetic quotient of (d−1)-dimensional hyperbolic space embedded in X. We introduce a certain counting function for period integrals and prove its asymptotic law. |
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