Lipschitz and Fourier type conditions with moduli of continuity in rank 1 symmetric spaces

Published 23 Sep 2021 in math.CA and math.DG | (2109.11210v1)

Abstract: Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an $L^2$ function, in the setting of Riemannian symmetric spaces of rank $1$ whose growth depends on a $k$th-order modulus of continuity.

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