Spectral square means for period integrals of wave functions on real hyperbolic spaces

DOI10.1016/j.jnt.2009.04.007zbMath1241.11059OpenAlexW2043827791MaRDI QIDQ838448

Masao Tsuzuki

Publication date: 26 August 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.04.007

zbMATH Keywords

wave functionreal hyperbolic spacearithmetic quotientperiod integral

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items

Spectral square means for period integrals of wave functions on real hyperbolic spaces, The hyperbolic lattice point problem in conjugacy classes, A RELATIVE TRACE FORMULA FOR A COMPACT RIEMANN SURFACE, Limit formulas of period integrals for a certain symmetric pair. II, Global automorphic Sobolev theory and the automorphic heat kernel, Mean value results and \(\Omega\)-results for the hyperbolic lattice point problem in conjugacy classes, Spectral means of central values of automorphic 𝐿-functions for 𝐺𝐿(2)

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