Pseudodifferential Operators with Automorphic Symbols (Pseudo-Differential Operators, #11)

by Andre Unterberger

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The main results of this book combine pseudo differential analysis with modular form theory. The methods rely for the most part on explicit spectral theory and the extended use of special functions. The starting point is a notion of modular distribution in the plane, which will be new to most readers and relates under the Radon transformation to the classical one of modular form of the non-holomorphic type. Modular forms of the holomorphic type are addressed too in a more concise way, within a general scheme dealing with quantization theory and elementary, but novel, representation-theoretic concepts.
  • ISBN13 9783319186566
  • Publish Date 26 June 2015
  • Publish Status Active
  • Out of Print 20 March 2021
  • Publish Country CH
  • Imprint Birkhauser Verlag AG
  • Edition 2015 ed.
  • Format Paperback
  • Pages 202
  • Language English