{"product_id":"pseudodifferential-analysis-automorphic-distributions-in-andr-unterberger-9783034801652","title":"Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms","description":"\u003cp\u003ePseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane Π to automorphic distribution theory in the plane. Spectral-theoretic questions are discussed in one or the other environment: in the latter one, the problem of decomposing automorphic functions in Π according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R\u003csup\u003e2\u003c\/sup\u003e into homogeneous components. The Poincaré summation process, which consists in building automorphic distributions as series of \u003ci\u003eg\u003c\/i\u003e-transforms, for \u003ci\u003eg E SL\u003c\/i\u003e(2\u003ci\u003e;\u003c\/i\u003eZ), of some initial function, say in \u003ci\u003eS\u003c\/i\u003e(R\u003csup\u003e2\u003c\/sup\u003e), is analyzed in detail. On Π, a large class of new automorphic functions or measures is built in the same way: one of its features lies in an interpretation, as a spectral density, of the restriction of the zeta function to any line within the critical strip.\u003c\/p\u003e \u003cp\u003eThe book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e André Unterberger\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3034801653\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783034801652\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Birkhauser\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/06\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 300\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.05lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.50h x 6.60w x 0.70d","brand":"André Unterberger","offers":[{"title":"Paperback","offer_id":44125937107199,"sku":"9783034801652","price":54.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_cd04f16f-4478-4895-94bf-9efc56cb70c3.jpg?v=1687445403","url":"https:\/\/www.whiterainbookhouse.com\/products\/pseudodifferential-analysis-automorphic-distributions-in-andr-unterberger-9783034801652","provider":"WR Book House","version":"1.0","type":"link"}