Spectral decomposition of the cubic Casimir operator associated with Jacobi group
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Publication:2337348
DOI10.1007/s11139-018-0003-1zbMath1459.11123OpenAlexW2801390993MaRDI QIDQ2337348
Publication date: 19 November 2019
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-018-0003-1
Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Applications of Lie groups to the sciences; explicit representations (22E70) Jacobi forms (11F50) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Cites Work
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- Kohnen's limit process for real-analytic Siegel modular forms
- Explicit formulas for the Fourier coefficients of Jacobi and elliptic modular forms
- The theory of Jacobi forms
- The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
- Jacobi Maaß forms
- An approach to the Selberg trace formula via the Selberg zeta-function
- Zagier-type dualities and lifting maps for harmonic Maass-Jacobi forms
- Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
- Real analytic Eisenstein series for the Jacobi group
- EXACT FORMULAS FOR COEFFICIENTS OF JACOBI FORMS
- Harmonic Maass-Jacobi forms with singularities and a theta-like decomposition
- True Bargmann transforms for rank one automorphic functions associated with Landau levels
- Elements of the representation theory of the Jacobi group