Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms (repost)
Andre Unterberger, "Pseudodifferential Analysis, Automorphic Distributions in the Plane and Modular Forms"
English | 2011 | ISBN: 3034801653 | 308 pages | PDF | 3,4 MB
English | 2011 | ISBN: 3034801653 | 308 pages | PDF | 3,4 MB
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.