Download Automorphic forms on SL₂(R) by Armand Borel PDF

By Armand Borel

This booklet presents an creation to a couple features of the analytic concept of automorphic varieties on G=SL2(R) or the upper-half aircraft X, with admire to a discrete subgroup ^D*G of G of finite covolume. the perspective is galvanized through the idea of limitless dimensional unitary representations of G; this can be brought within the final sections, making this connection specific. the themes taken care of comprise the development of primary domain names, the concept of automorphic shape on ^D*G\G and its dating with the classical automorphic varieties on X, Poincaré sequence, consistent phrases, cusp kinds, finite dimensionality of the distance of automorphic varieties of a given variety, compactness of definite convolution operators, Eisenstein sequence, unitary representations of G, and the spectral decomposition of L2(^D*G/G). the most necessities are a few ends up in sensible research (reviewed, with references) and a few familiarity with the undemanding idea of Lie teams and Lie algebras

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