Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms: 8 (Pseudo-Differential Operators) - Tapa blanda

Unterberger, André

 
9783034801652: Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms: 8 (Pseudo-Differential Operators)
Tapa blanda
ISBN 10: 3034801653 ISBN 13: 9783034801652
Editorial: Birkhäuser, 2011

Sinopsis

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 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 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 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.

The book is addressed to a wide audience of advanced graduate students and researchers working in analytic number theory or pseudo-differential analysis.

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3034801653
ISBN 13 
9783034801652
Encuadernación
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Número de páginas
308
Contacto del fabricante
no disponible
Persona responsable
no disponible

Otras ediciones populares con el mismo título

9783034801676: Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms

Edición Destacada

ISBN 10:  303480167X ISBN 13:  9783034801676
Editorial: Birkhäuser, 2011
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