SOME VECTOR-VALUED SINGULAR AUTOMORPHIC FORMS ON U(2, 2) AND THEIR RESTRICTION TO Sp(1, 1)
DOI10.1142/S0129167X12501042zbMath1294.11056OpenAlexW2018809778MaRDI QIDQ4902692
Atsuo Yamauchi, Hiro-aki Narita
Publication date: 17 January 2013
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0129167x12501042
theta seriesquaternionic discrete series representation4-dimensional hyperbolic spacereal symplectic group of signature (1+,1-)unitary group of signature (2+,2-)
Theta series; Weil representation; theta correspondences (11F27) Other groups and their modular and automorphic forms (several variables) (11F55) Fourier coefficients of automorphic forms (11F30)
Related Items (1)
Cites Work
- Fourier-Jacobi expansion of automorphic forms on \(\text{Sp}(1,q)\) generating quaternionic discrete series
- Theta lifting from elliptic cusp forms to automorphic forms on \(\mathrm{Sp}(1, q)\)
- Commutation relations of Hecke operators for Arakawa lifting
- Szegoe kernels associated with discrete series
- Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
- Fourier expansion of Arakawa lifting. I: An explicit formula and examples of non-vanishing lifts
- Siegel's modular forms and Dirichlet series. Course given at the University of Maryland, 1969-1970
- Automorphe Funktionen von mehreren Veränderlichen und Dirichletsche Reihen. (Automorphic functions of several variables and Dirichlet series)
- On the Decomposition of a Representation of SOn When Restricted to SOn-1
- INVARIANTS FOR SOME REAL HYPERBOLIC GROUPS
- On an Explicit Construction of a Certain Class of Automorphic Forms
- Lie groups beyond an introduction
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