Numerical harmonic analysis on the hyperbolic plane

Buma Fridman Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

Peter Kuchment Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

Kirk Lancaster Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

Serguei Lissianoi Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

Mila Mogilevsky Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

Daowei Ma Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

Igor Ponomarev Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

Vassilis Papanicolaou Mathamatics and statistics department, Wichita state university, Wichita, KS, 67260-0033, U.S.A

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Abstract

Results are reported of a numerical implementation of the hypcrbolic Fourier transform and the geodesic and horocyclic Radon transforms on the hyperbolic plane, and of their inverses. The study is motivated by the hyperbolic geometry approach to the linearized inverse conductivity problem, suggested by C. A. Berenstein and E. Casadio Tarabusi.

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Numerical harmonic analysis on the hyperbolic plane

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Numerical harmonic analysis on the hyperbolic plane

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