Multipliers on weighted group algebras

  • Yaogan Mensah University of Lomé
  • Abudulai Issa University of Lomé
Keywords: weight, convolution, multiplier, group algebra, Fourier transform

Abstract

Let G be a locally compact abelian group and let w be a weight on G. We study the multipliers on the weighted group algebra L1w (G) which is the Banach space L1(G, w) endowed with a new convolution product *w which depends on the weight w. We introduce a time-frequency shift like operators. We define a Fourier transform and we obtain among other results a convolution theorem and a Wendel like characterization of the studied multipliers.

Published
2020-08-17
How to Cite
Mensah, Y., & Issa, A. (2020). Multipliers on weighted group algebras. Gulf Journal of Mathematics, 8(2), 35-45. Retrieved from https://gjom.org/index.php/gjom/article/view/283
Section
Articles