Modular forms of varying weight. I
DOI10.1007/BF01214747zbMath0553.10021OpenAlexW4256364845MaRDI QIDQ801962
Publication date: 1985
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/173642
eigenvalueHilbert spacespectrumEisenstein seriesDedekind eta-functionPoincaré seriesorthonormal basisLaplacianmeromorphic continuationpseudo-Laplaciansquare integrable functionsFourier coefficientmultiplier system
Spectral theory and eigenvalue problems for partial differential equations (35P99) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) General theory of partial differential operators (47F05) Holomorphic modular forms of integral weight (11F11)
Related Items (6)
Cites Work
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- Local analysis of Selberg's trace formula
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- Fourier coefficients of automorphic forms
- 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
- Scattering Theory for Automorphic Functions. (AM-87)
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