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Spectral Theory of Infinite-Area Hyperbolic Surfaces (Progress in Mathematics)

  • Author: David Borthwick
  • ISBN 10: 0817645241
  • ISBN 13: 9780817645243
  • Edition: 2007
  • Release: October 1, 2007
  • Format: Hardcover (366 pages)
  • List Price: $59.95
  • More Details

    List Price: $59.95

    Tags: Science, General,

    Book Description:
    This book is a self-contained monograph on spectral theory for non-compact Riemann surfaces, focused on the infinite-volume case. By focusing on the scattering theory of hyperbolic surfaces, this work provides a compelling introductory example which will be accessible to a broad audience. The book opens with an introduction to the geometry of hyperbolic surfaces. Then a thorough development of the spectral theory of a geometrically finite hyperbolic surface of infinite volume is given. The final sections include recent developments for which no thorough account exists.

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