{ "item_title" : "Automorphic Forms on Sl2 (R)", "item_author" : [" Armand Borel "], "item_description" : "This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroupD*G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this is introduced in the last sections, making this connection explicit. The topics treated include the construction of fundamental domains, the notion of automorphic form onD*G\G and its relationship with the classical automorphic forms on X, Poincarseries, constant terms, cusp forms, finite dimensionality of the space of automorphic forms of a given type, compactness of certain convolution operators, Eisenstein series, unitary representations of G, and the spectral decomposition of L2( D*G/G). The main prerequisites are some results in functional analysis (reviewed, with references) and some familiarity with the elementary theory of Lie groups and Lie algebras.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/0/52/107/212/0521072123_b.jpg", "price_data" : { "retail_price" : "70.00", "online_price" : "70.00", "our_price" : "70.00", "club_price" : "70.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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