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Research Article Open access CC BY 3.0

The Fourier Multipliers of p-Fourier Spaces on Compact Groups

E. J. Atto, Y. Mensah, V. S. K. Assiamoua

Journal of Advances in Mathematics and Computer Science · pp. 667–673 · Published 2 Dec 2013

10.9734/BJMCS/2014/5086

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.

Compact group Banach algebra Fourier transform p-Fourier space Fourier multiplier.

References (8)

  1. 1 A Course in Abstract Harmonic Analysis [DOI]
  2. 2 Product Summability Transform of Conjugate Series of Fourier Series [DOI]
  3. 3 Multipliers and sets of uniqueness of $L^p$. [DOI]
  4. 4 FOURIER-STIELTJES TRANSFORMS OF VECTOR-VALUED MEASURES ON COMPACT GROUPS
  5. 5 ON SPACES OF FOURIER-STIELTJES TRANSFORM OF VECTOR MEASURES ON COMPACT GROUPS
  6. 6 Completely Bounded Fourier Multipliers Over Compact Groups
  7. 7 Abstract Harmonic Analysis. [DOI]
  8. 8 Noncommutative vector valued $L_p$-spaces and completely $p$-summing maps [DOI]

Cited by 2

On the vector Fourier multipliers for compact groups

Abudulaï Issa, Yaogan Mensah · 2019

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