{"product_id":"9783034801652","title":"Pseudo-Differential Operators","description":"\u003ch1\u003ePseudo-Differential Operators\u003c\/h1\u003e \u003ch2\u003eUnterberger, André\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\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\u003e\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 \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2011-08-06\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783034801652\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-0348-0166-9\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x168cm\u003c\/p\u003e \u003cp\u003ePages: 300\u003c\/p\u003e ","brand":"Springer Basel","offers":[{"title":"Default Title","offer_id":46544956620940,"sku":"9783034801652","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783034801652.jpg?v=1775761867","url":"https:\/\/lateknightbooks.com\/products\/9783034801652","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}