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Groups Acting on Hyperbolic Space

Harmonic Analysis and Number Theory

Inbunden, Engelska, 1997

AvJuergen Elstrodt,Fritz Grunewald,Jens Mennicke

1 779 kr

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This book deals with a broad range of topics from the theory of automorphic functions on three-dimensional hyperbolic space and its arithmetic group theoretic and geometric ramifications. Starting off with several models of hyperbolic space and its group of motions the authors discuss the spectral theory of the Laplacian and Selberg's theory for cofinite groups. This culminates in explicit versions of the Selberg trace formula and the Selberg zeta-function. The interplay with arithmetic is demonstrated by means of the groups PSL(2) over rings and of quadratic integers, their Eisenstein series and their associated Hermitian forms. A rich chapter on concrete examples of arithmetic and non-arithmetic cofinite groups enhances the usefulness of this work for a wide circle of mathematicians.

Produktinformation

  • Utgivningsdatum1997-11-12
  • Mått155 x 235 x 34 mm
  • Vikt975 g
  • FormatInbunden
  • SpråkEngelska
  • SerieSpringer Monographs in Mathematics
  • Antal sidor524
  • Upplaga1998
  • FörlagSpringer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • ISBN9783540627456

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