{"product_id":"9783540574880","title":"Lecture Notes in Mathematics","description":"\u003ch1\u003eLecture Notes in Mathematics\u003c\/h1\u003e \u003ch2\u003eJorgenson, Jay; Lang, Serge\u003c\/h2\u003e \u003cp\u003eAnalytic number theory and part of the spectral theory of\noperators         (differential, pseudo-differential, elliptic,\netc.) are being merged under amore general analytic theory\nof regularized products of certain sequences   satisfying a\nfew basic axioms. The most basic examples consist of           the\nsequence of natural numbers, the sequence of zeros with\npositive    imaginary part of the Riemann zeta function, and\nthe sequence of            eigenvalues, say of a positive Laplacian on\na compact or certain cases of   non-compact manifolds. The\nresulting theory is applicable to ergodic theory and\ndynamical systems; to the zeta and L-functions of number\ntheory or  representation theory and modular forms; to\nSelberg-like zeta functions; andto the theory of\nregularized determinants familiar in physics and other     parts\nof mathematics. Aside from presenting a systematic account\nof     widely scattered results, the theory also provides new\nresults. One part of the theory deals with complex analytic\nproperties, and another part deals   with Fourier analysis.\nTypical examples are given. This LNM provides basic  results\nwhich are and will be used in further papers, starting with\na   general formulation of Cram r's theorem and explicit\nformulas. The          exposition is self-contained (except for\nfar-reaching examples), requiring  only standard knowledge of\nanalysis.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 1993-11-29\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540574880\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/BFb0077194\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 130\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369790267532,"sku":"9783540574880","price":35.96,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540574880.jpg?v=1772802923","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783540574880","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}