A four dimensional Bernstein Theorem

Published 7 Mar 2019 in math.CV | (1903.03068v1)

Abstract: We prove a four dimensional version of the Bernstein Theorem, with complex polynomials being replaced by quaternionic polynomials. We deduce from the theorem a quaternionic Bernstein's inequality and give a formulation of this last result in terms of four-dimensional zonal harmonics and Gegenbauer polynomials.

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Authors (1)

Alessandro Perotti

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