{"product_id":"automorphic-forms-on-sl2-r-armand-borel-9780521072120","title":"Automorphic Forms on Sl2 (R)","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 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, Poincar  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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Armand Borel\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0521072123\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780521072120\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/14\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 208\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.69lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.48d","brand":"Armand Borel","offers":[{"title":"Paperback","offer_id":45478336889087,"sku":"9780521072120","price":65.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5d088c8a-33a1-4463-bff9-24d33bde9a6d.jpg?v=1715934956","url":"https:\/\/www.whiterainbookhouse.com\/products\/automorphic-forms-on-sl2-r-armand-borel-9780521072120","provider":"WR Book House","version":"1.0","type":"link"}