Abilov’s inequalities in the Laguerre hypergroup
Year: 2025
Type: article
Abstract: Let (K, *?) be the Laguerre hypergroup where K = [0, +?) ? R and *? a convolution product on K coming from the product formula satisfied by the Laguerre functions. In this work, we give new estimates for the Laguerre kernel. We obtain new inequalities for the Fourier-Laguerre transform in the space L2? (K), by using a generalized translation operator to prove these estimates in certain classes of functions characterized by a generalized continuity modulus.
Source: Filomat
DOI: 10.2298/fil2501313t
Authors: Othman Tyr, Larbi Rakhimi
Institutions: Université Ibn Zohr, University of Hassan II Casablanca
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4412912746