A dimension formula for a certain space of automorphic forms of \(\text{SU}(p,1)\)
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Publication:1053054
DOI10.1007/BF01458540zbMath0517.10023MaRDI QIDQ1053054
Publication date: 1984
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/163869
Automorphic forms, one variable (11F12) Spectral theory; trace formulas (e.g., that of Selberg) (11F72)
Related Items (7)
Dimension of spaces of vector valued automorphic forms on the unitary group SU(2,1) ⋮ Reflection positivity for the complementary series of SL(2n, \({\mathbb{C}})\) ⋮ The signature with local coefficients of locally symmetric spaces ⋮ A three dimensional ball quotient ⋮ On vector-valued automorphic forms on bounded symmetric domains ⋮ Contributions from Conjugacy Classes of Regular Elliptic Elements in Hermitian Modular Groups to the Dimension Formula of Hermitian Modular Cusp Forms ⋮ A dimension formula for a certain space of automorphic forms of SU(p,1). II: The case of \(\Gamma\) (N) with N\(\geq 3\)
Cites Work
- Hirzebruch's proportionality theorem in the non-compact case
- The arithmetic of automorphic forms with respect to a unitary group
- Automorphic forms on semisimple Lie groups. Notes by J. G. M. Mars.
- Discrete series for semisimple Lie groups. II: Explicit determination of the characters
- Fundamental domains for lattices in (R-)rank 1 semisimple Lie groups
- On discontinuous groups operating on the product of the upper half planes
- The dimension of spaces of automorphic forms on a certain two-dimensional complex domain
- The Parabolic Contribution to the Number of Linearly Independent Automorphic Forms on a Certain Bounded Domain
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