The Poincaré Upper Half-Plane

Audrey Terras
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Audrey Terras: University of California at San Diego, Department of Mathematics C-012

Chapter Chapter III in Harmonic Analysis on Symmetric Spaces and Applications I, 1985, pp 120-320 from Springer

Abstract: Abstract In Chapter 2, we considered a model for elliptic geometry, in which any two geodesics intersect, so that there are no parallels. Now we want to investigate a model for hyperbolic geometry, in which there are infinitely many parallels to a given geodesic through a given point.

Keywords: Zeta Function; Modular Form; Theta Function; Fundamental Domain; Eisenstein Series (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4612-5128-6_3

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