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

DOI10.1007/BF01432380zbMath0265.10017MaRDI QIDQ2562204

Jürgen Elstrodt

Publication date: 1974

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

Full work available at URL: https://eudml.org/doc/162560

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Discontinuous groups and automorphic forms (11F99) Partial differential equations of mathematical physics and other areas of application (35Q99) Automorphic forms, one variable (11F12) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35)

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Cites Work

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• Über das wesentliche Spektrum zum Eigenwertproblem der automorphen Formen
• Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
• Darstellung automorpher Formen durch Poincaré-Reihen
• Some properties of Poincaré series of dimension \(-2\)
• Die Differentialgleichungen in der Theorie der elliptischen Modulfunktionen. (The differential equations in the theory of elliptic modular functions)
• Automorphic Forms and Poincare Series for Infinitely Generated Fuchsian Groups
• The Exponent of Convergence of Poincaré Series
• On the Boundedness of Automorphic Forms
• Cusp Forms and Poincare Series
• A Reproducing Formula for Integrable Automorphic Forms
• On Integrable and Bounded Automorphic Forms
• Über die Bestimmung Dirichletscher Reihen durch ihre Funktionalgleichung