Brownian Motion on the Hyperbolic Plane
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Nobuyuki Ikeda; Hiroyuki Matsumoto
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Article
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1999
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Elsevier Science
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English
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We will show that the relation of the heat kernels for the Schro dinger operators with uniform magnetic fields on the hyperbolic plane H 2 (the Maass Laplacians) and for the Schro dinger operators with Morse potentials on R is given by means of a one-dimensional Fourier transform in the framework of