Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms.

Unterberger, André

ISBN 10: 3034801653 / ISBN 13: 9783034801652

Verlag: Basel, Birkhäuser Verlag., 2011

Beschreibung

VIII, 299 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Stamped. Cover with bearing traces. Pseudo-Differential Operators, Vol. 8. Sprache: Englisch.

Bestandsnummer des Verkäufers 8973DB

Bibliografische Details

• Titel: Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms.
• Verlag: Basel, Birkhäuser Verlag.
• Erscheinungsjahr: 2011
• Sprache: Englisch
• ISBN-10: 3034801653
• ISBN-13: 9783034801652
• Einband: Softcover
• Verkäuferkataloge:
  • Mathematik

Über diesen Titel

Inhaltsangabe

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.

Von der hinteren Coverseite

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.