The Fourier Multipliers of p-Fourier Spaces on Compact Groups
E. J. Atto
Department of Mathematics, University of Lom´ e, POBox 1515, Lom´e, Togo.
Y. Mensah *
Department of Mathematics, University of Lom´ e, POBox 1515, Lom´e, Togo and International Chair in Mathematical. Physics and Applications (ICMPA-Unesco Chair), University of Abomey-Calavi, Benin.
V. S. K. Assiamoua
Department of Mathematics, University of Lom´ e, POBox 1515, Lom´e, Togo.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we prove some properties of Fourier multipliers on compact groups. Mainly we obtain the invariance of p-Fourier spaces under the action of Fourier multipliers over compact groups.
Keywords: Compact group, Banach algebra, Fourier transform, p-Fourier space, Fourier multiplier.