Spectral analysis on planar mixed automorphic forms
نویسندگان
چکیده
منابع مشابه
On Spectral Analysis of a Magnetic Schrödinger Operator on Planar Mixed Automorphic Forms
We characterize the space of the so-called planar mixed automorphic forms of type (ν, μ) with respect to an equivariant pair (ρ, τ) as the image of the usual automorphic forms by an appropriate transform and we investigate some concrete basic spectral properties of a magnetic Schrödinger operator acting on them. The associated polynomials constitute classes of generalized complex polynomials of...
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We characterize the space of the so-called planar mixed automorphic forms of type (ν, μ)with respect to an equivariant pair (ρ, τ) as the image, by an appropriate transform, of the usual (Landau) automorphic forms involving special multiplier.
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on Γ\H, parametrized as λw = w(w−1). Haas listed the w-values. Haas thought he was solving the differential equation (∆ − λ)u = 0. Stark and Hejhal observed zeros of ζ and of an L-function on Haas’ list. This suggested an approach to proving the Riemann Hypothesis, since it seemed that zeros w of ζ might give eigenvalues λ = w(w − 1) of ∆. Since ∆ is a self-adjoint, nonpositive operator, these ...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2011
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2011.05.040