Fourier transforms of Lipschitz functions on the hyperbolic plane H2 by M. S. Younis

“…The purpose of the present work is to study the order of magnitude of the Fourier transforms fˆ(λ) for large λ of complex-valued functions f(z) sating certain Lipschitz conditions in the non-Euclidean hyperbolic plane H2.…”
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A PDE for Smooth Isometric Immersion of an Open Set of the Hyperbolic Plane ℍ2 into ℝ4 by Mor Dione, Bira Gaye Diop, Athoumane Niang

“…A simple interpretation of the PDE for isometric immersion of the hyperbolic plane ℍ2 into ℝ4 is given. Thus, necessary and sufficient conditions are obtained. …”
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Tilings of the hyperbolic plane of substitutive origin as subshifts of finite type on Baumslag–Solitar groups $\mathit{BS}(1,n)$ by Aubrun, Nathalie, Schraudner, Michael

“…We present a technique to lift some tilings of the discrete hyperbolic plane –tilings defined by a 1D substitution– into a zero entropy subshift of finite type (SFT) on non-abelian amenable groups $\mathit{BS}(1,n)$ for $n\ge 2$. …”
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Explicit geodesic flow-invariant distributions using SL2(ℝ)-representation ladders by Alvaro Alvarez-Parrilla

“…It is found that the distribution represents an AC measure on the unit tangent bundle of the hyperbolic plane minus an explicit singular set. Finally, via an averaging argument, a geodesic flow-invariant distribution on a closed hyperbolic surface is obtained.…”
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