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[null,"1.","Record Nr.",null,"UNISA996466535803316"]
[null,null,"Autore",null,"Haran Shai M. J"]
[null,null,"Titolo",null,"Arithmetical Investigations [[electronic resource] ] : Representation Theory, Orthogonal Polynomials, and Quantum Interpolations / / by Shai M. J. Haran"]
[null,null,"Pubbl/distr/stampa",null,"Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2008"]
[null,null,"ISBN",null,"3-540-78379-2"]
[null,null,"Edizione",null,"[1st ed. 2008.]"]
[null,null,"Descrizione fisica",null,"xii, 217 p. : ill"]
[null,null,"Collana",null,"Lecture Notes in Mathematics, , 0075-8434"]
[null,null,"Disciplina",null,"511.42"]
[null,null,"Soggetti",null,"Number theory"]
[{"$nulls":4},"Number Theory"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Bibliographic Level Mode of Issuance: Monograph"]
[null,null,null,"Nota di bibliografia","Includes bibliographical references (p. [209]-213) and index."]
[null,null,"Nota di contenuto",null,"Introduction: Motivations from Geometry -- Gamma and Beta Measures -- Markov Chains -- Real Beta Chain and q-Interpolation -- Ladder Structure -- q-Interpolation of Local Tate Thesis -- Pure Basis and Semi-Group -- Higher Dimensional Theory -- Real Grassmann Manifold -- p-Adic Grassmann Manifold -- q-Grassmann Manifold -- Quantum Group Uq(su(1, 1)) and the q-Hahn Basis."]
[null,null,null,"Sommario/riassunto","In this volume the author further develops his philosophy of quantum interpolation between the real numbers and the p-adic numbers. The p-adic numbers contain the p-adic integers Zp which are the inverse limit of the finite rings Z/pn. This gives rise to a tree, and probability measures w on Zp correspond to Markov chains on this tree. From the tree structure one obtains special basis for the Hilbert space L2(Zp,w). The real analogue of the p-adic integers is the interval [-1,1], and a probability measure w on it gives rise to a special basis for L2([-1,1],w) - the orthogonal polynomials, and to a Markov chain on \"finite approximations\" of [-1,1]. For special (gamma and beta) measures there is a \"quantum\" or \"q-analogue\" Markov chain, and a special basis, that within certain limits yield the real and the p-adic theories. This idea can be generalized variously. In representation theory, it is the quantum general linear group GLn(q)that interpolates between the p-adic group GLn(Zp), and between its real (and complex) analogue -the orthogonal On (and unitary Un )groups. There is a similar quantum interpolation between the real and p-adic Fourier transform and between the real and p-adic (local unramified part of) Tate thesis, and "]
[{"$nulls":4},"Weil explicit sums."]
[null,"2.","Record Nr.",null,"UNISANNIONAP0561092"]
[null,null,"Titolo",null,"v. 2. / edited by Joseph P. Stoltman"]
[null,null,"Pubbl/distr/stampa",null,"Los Angeles [etc.], : Sage, 2012"]
[null,null,"Descrizione fisica",null,"P. [423]-883 ; 29 cm."]
[null,null,"Disciplina",null,"910"]
[null,null,"Soggetti",null,"GEOGRAFIA - MANUALI"]
[null,null,"Collocazione",null,"POZZO LIB.ECON MON                4246"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]