Die Resolvente zum Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. II

DOI10.1007/BF01213916zbMath0246.10016OpenAlexW3009870674MaRDI QIDQ2555513

Jürgen Elstrodt

Publication date: 1973

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/171913

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Discontinuous groups and automorphic forms (11F99) Automorphic forms, one variable (11F12) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

Related Items (11)

Hyperbolic Eisenstein series for geometrically finite hyperbolic surfaces of infinite volume ⋮ Construction of Poincaré-type Series by Generating Kernels ⋮ Critical exponents of invariant random subgroups in negative curvature ⋮ Temperedness of $L^2(\Gamma {\setminus } G)$ and positive eigenfunctions in higher rank ⋮ \(L_p\)-spectrum and Lieb-Thirring inequalities for Schrödinger operators on the hyperbolic plane ⋮ Generalized second Bargmann transforms associated with the hyperbolic Landau levels on the Poincaré disk ⋮ HEAT KERNEL BOUNDS, POINCARÉ SERIES, AND L² SPECTRUM FOR LOCALLY SYMMETRIC SPACES ⋮ Translation representations for automorphic solutions of the wave equation in non-euclidean spaces. I ⋮ Scattering operator and Eisenstein integral for Kleinian groups ⋮ Trace formula for the magnetic Laplacian ⋮ Bottom of the \(L^2\) spectrum of the Laplacian on locally symmetric spaces

Cites Work

• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Ein Satz über ganzwertige Funktionen als Prinzip für Transzendenzbeweise
• Die Differentialgleichungen in der Theorie der elliptischen Modulfunktionen. (The differential equations in the theory of elliptic modular functions)
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung
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