Boas-type theorems for the modified Whittaker transform

Authors

  • M. El Bouazizi Huissan II University, Casablanca, Morocco
  • M. El Hamma Hassan II University, Casablanca, Morocco
  • R Daher Hassan II University, Casablanca, Morocco

DOI:

https://doi.org/10.31926/but.mif.2026.6.68.1.5

Keywords:

modified Whittaker transform, generalized translation operator, Lipschitz classes

Abstract

In this paper, we give necessary and sufficient conditions in terms of FW(f), the modified Whittaker transform of f, to ensure that f belongs either to one of the generalized Lipschitz classes Hpδ and hpδ  for δ > 0.

Author Biographies

M. El Bouazizi, Huissan II University, Casablanca, Morocco

Laboratory of Mathematical Analysis, Algebra and Applications, Ain Chock Faculty of Sciences, Hassan II

M. El Hamma, Hassan II University, Casablanca, Morocco

Laboratory of Mathematical Analysis, Algebra and Applications, Ain Chock Faculty of Sciences

R Daher, Hassan II University, Casablanca, Morocco

Laboratory of Mathematical Analysis, Algebra and Applications, Ain Chock Faculty of Sciences

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Published

2026-06-23

Issue

Vol. 6(68) No. 1 (2026)

Section

MATHEMATICS