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Orbital integrals on the Lorentz space of curvature —1

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Abstract.

We present a rotation symmetric model in the Euclidean space for the Lorentzian of curvature — 1 in which the Lorentzian spheres around all the points of an a priori fixed spacelike totalgeodesic are straightlines. Investigating the mean value operators in this model yields to various representations of functions by means of their integrals over Lorentzian spheres.

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Received: 14.7.1998

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Kurusa, Á. Orbital integrals on the Lorentz space of curvature —1. Arch. Math. 75, 132–146 (2000). https://doi.org/10.1007/PL00000433

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  • DOI: https://doi.org/10.1007/PL00000433

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