A Fourier transform approach to Christoffel’s problem

Goodey, Paul; Yaskin, Vladyslav; Yaskina, Maryna

doi:10.1090/S0002-9947-2011-05267-0

A Fourier transform approach to Christoffel’s problem
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by Paul Goodey, Vladyslav Yaskin and Maryna Yaskina

Trans. Amer. Math. Soc. 363 (2011), 6351-6384

DOI: https://doi.org/10.1090/S0002-9947-2011-05267-0

Published electronically: July 26, 2011

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Abstract:

We use Fourier transform techniques to provide a new approach to Berg’s solution of the Christoffel problem. This leads to an explicit description of Berg’s spherical kernel and to new regularity properties of the associated integral transform.

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