Decomposition and estimates for cuspforms
نویسنده
چکیده
The discrete decomposition with finite multiplicities of square-integrable cuspforms, and concommitant estimates, are foundational. Lie-group and symmetric-space versions of these results were known [Selberg 1956], [Gelfand-Fomin 1952] in the mid 1950’s. The general assertion was made in [GelfandGraev 1962] and [Gelfand-PS 1963], the latter observing that an adelic formulation can proceed in the same fashion.
منابع مشابه
Automorphic Representations and L-functions
• Decomposition by central characters • Square-integrable cuspforms • Smoothness of cuspforms • Eigen-cuspforms and automorphic representation • Dirichlet series versus zeta and L-functions • L-functions defined via local data • Factoring unitary representations of adele groups • Spherical representations and Satake parameters • Local data, L-groups, higher L-functions References and historical...
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تاریخ انتشار 2009