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Focusing on the analytic theory of automorphic forms, the book delves into the structure and properties of these forms on G=SL2(R) and the upper-half plane, particularly regarding discrete subgroups of finite covolume. It explores various topics, including the construction of fundamental domains, Poincaré series, cusp forms, and the spectral decomposition of associated spaces. The text also connects these concepts to infinite dimensional unitary representations, requiring a foundational understanding of functional analysis and basic Lie group theory.
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Automorphic Forms on Sl2 (R), Armand Borel
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- Pubblicato
- 2004
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