{"product_id":"automorphic-forms-on-sl2-r-9780521072120","title":"Automorphic Forms on Sl2 (R)","description":"\u003cp\u003e • Author(s): Armand Borel\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Number Theory\u003c\/p\u003e\u003cp\u003eThis 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 subgroup  D*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 on  D*G\\G and its relationship with the classical automorphic forms on X, Poincaré series, 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":46432824459415,"sku":"9780521072120","price":4281.0,"currency_code":"INR","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780521072120.webp?v=1769306633","url":"https:\/\/atlanticbooks.com\/products\/automorphic-forms-on-sl2-r-9780521072120","provider":"Atlantic Books","version":"1.0","type":"link"}