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


Fernandez A. Restrepo J.E. Suragan D.
February 2022Springer

Monatshefte fur Mathematik
2022#197Issue 2353 - 364 pp.

Sufficient and necessary results have been proven on Lipschitz type integral conditions and bounds of its Fourier transform for an L2 function, in the setting of Riemannian symmetric spaces of rank 1 whose growth depends on a kth-order modulus of continuity.

Fourier transform , Generalised Hölder space , Lipschitz type condition , Moduli of continuity , Symmetric space , Translation operator

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Department of Mathematics, Eastern Mediterranean University, via Mersin-10, Northern Cyprus, Famagusta, Turkey
Department of Mathematics, Nazarbayev University, Nur-Sultan, Kazakhstan
Institute of Mathematics, University of Antioquia, Medellin, Colombia

Department of Mathematics
Department of Mathematics
Institute of Mathematics

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