Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
From the reviews:
“The book is devoted to explaining a close relationship between the pseudodifferential analysis and the well-known theory of automorphic functions and modular forms on the upper Poincaré half-plane II, or their generalization as automorphic distributions. ... the book is perfectly readable and rich with analytic details for both researchers in pseudodifferential analysis and for number theorists.” (Đȭ Ngọc Diệp, Mathematical Reviews, November, 2013)
“In this book the author explains very beautiful links between pseudodifferential analysis and the theory of nonholomorphic modular forms on the classical modular group ... . The book is excellently written and represents an extremely valuable contribution for the two research communities – analysts from PDEs and pseudodifferential operators and number theorists. It exhibits a lot of new and original links between the two research areas. It is self-contained and easily accessible for a broad readership.” (Sören Kraußhar, Zentralblatt MATH, Vol. 1243, 2012)
Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane ? 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 ? according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R2 into homogeneous components. The Poincaré summation process, which consists in building automorphic distributions as series of g-transforms, for g Î SL(2;Z), of some initial function, say in S(R2), is analyzed in detail. On ?, 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.
The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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In U.S.A.
Descrizione libro Soft Cover. Condizione: new. Codice articolo 9783034801652
Descrizione libro Condizione: New. Codice articolo 12655229-n
Descrizione libro Paperback or Softback. Condizione: New. Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms 1.05. Book. Codice articolo BBS-9783034801652
Descrizione libro Condizione: New. Codice articolo ABLIING23Mar3113020037652
Descrizione libro Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane 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 according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R2 into homogeneous components. The Poincaré summation process, which consists in building automorphic distributions as series of g-transforms, for g E SL(2;Z), of some initial function, say in S(R2), is analyzed in detail. On , 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.The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis. 308 pp. Englisch. Codice articolo 9783034801652
Descrizione libro Paperback. Condizione: Brand New. 308 pages. 9.25x6.50x0.75 inches. In Stock. Codice articolo x-3034801653
Descrizione libro Condizione: New. This volume presents pseudodifferential analysis tailored to the needs of number theorists. It explains how and why pseudodifferential analysis should be developed in the adelic setting. Series: Pseudo-Differential Operators. Num Pages: 308 pages, biography. BIC Classification: PBH; PBKF. Category: (P) Professional & Vocational. Dimension: 240 x 168 x 18. Weight in Grams: 525. . 2011. Paperback. . . . . Codice articolo V9783034801652
Descrizione libro Condizione: New. Codice articolo 12655229-n
Descrizione libro Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - Pseudodifferential analysis, introduced in this book in a way adapted to the needs of number theorists, relates automorphic function theory in the hyperbolic half-plane 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 according to the spectral decomposition of the modular Laplacian gives way to the simpler one of decomposing automorphic distributions in R2 into homogeneous components. The Poincaré summation process, which consists in building automorphic distributions as series of g-transforms, for g E SL(2;Z), of some initial function, say in S(R2), is analyzed in detail. On , 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.The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis. Codice articolo 9783034801652
Descrizione libro Condizione: New. PRINT ON DEMAND Book; New; Fast Shipping from the UK. No. book. Codice articolo ria9783034801652_lsuk