Pseudo-cuspforms, pseudo-Laplacians
نویسنده
چکیده
(∆− λ)f = T for a Γ-invariant distribution T on H, compactly-supported on Γ\H. The three main examples for T are described in detail below. That is, a slight roughness is tolerated in f at the support of the Γ-invariant distribution T . Three natural types of target distributions T are: (i) T is supported at a single point on Γ\H, (ii) T is supported on a closed geodesic on Γ\H, (iii) T evaluates the constant term at y = a. [3] Constructions are given below. Say that f is a pseudo-eigenfunction for ∆, and the corresponding λ is a pseudo-eigenvalue.
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