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Více informací o knize Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

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Anotace knihy

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. Several new ideas are far from being pushed to the end, and call for many possible generalizations, only hinted at.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms
• Autor: André Unterberger
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 300
• EAN: 9783034801652
• ISBN: 3034801653
• ID: 01438857
• Nakladatelství: Springer Basel
• Hmotnost: 525 g
• Rozměry: 240 × 168 × 17 mm
• Datum vydání: 06. August 2011

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