[图书][B] Functional equations on hypergroups

L Székelyhidi - 2003 - Springer
This paper presents some recent results concerning functional equations on hypergroups.
The aim is to give some idea for the treatment of classical functional equation problems in …

Lipschitz conditions in Laguerre hypergroup

S Negzaoui - Mediterranean Journal of Mathematics, 2017 - Springer
The purpose of this paper is to prove analogous of Titchmarsh's theorems for the Laguerre
transform. More precisely, we give a Lipschitz-type condition on f in L^ p (K) L p (K) for which …

Boas-type theorems for Laguerre type operator

L Rakhimi, R Daher - Journal of Pseudo-Differential Operators and …, 2022 - Springer
Abstract Let K=[0,+∞)× R the Laguerre Hypergroup. In this paper, an analogous of Boas-
type results is established for FL (f), the laguerre transform of f, and we give necessary and …

A note of some approximation theorems of functions on the Laguerre hypergroup

O Tyr, R Daher - Filomat, 2023 - doiserbia.nb.rs
This paper uses some basic notions and results on the Laguerre hypergroup K=[0,+∞) xR to
study some problems in the theory of approximation of functions in the space L2 α (K) …

Jackson's inequalities in Laguerre hypergroup

O Tyr, R Daher - Journal of Pseudo-Differential Operators and …, 2022 - Springer
In this work, we consider the Laguerre hypergroup (K,∗ α), where K=[0,+∞[× R and∗ α a
convolution product on K coming from the product formula satisfied by the Laguerre …

Generalized Besov type spaces on the Laguerre hypergroup

M Assal, H Ben Abdallah - Annales Mathématiques Blaise Pascal, 2005 - numdam.org
In this paper we study generalized Besov type spaces on the Laguerre hypergroup and we
give some characterizations using different equivalent norms which allows to reach results …

On maximal function on the Laguerre hypergroup

V Guliyev, M Assal - Fractional Calculus and Applied Analysis, 2006 - eudml.org
Abstract top 2000 Mathematics Subject Classification: 42B20, 42B25, 42B35Let K=[0,∞)× R
be the Laguerre hypergroup which is the fundamental manifold of the radial function space …

On fractional maximal function and fractional integral on the Laguerre hypergroup

VS Guliyev, MN Omarova - Journal of mathematical analysis and …, 2008 - Elsevier
Let K=[0,∞)× R be the Laguerre hypergroup which is the fundamental manifold of the radial
function space for the Heisenberg group. In this paper we obtain necessary and sufficient …

Lévy–Khintchine formula and dual convolution semigroups associated with Laguerre and Bessel functions

H Kortas, M Sifi - Potential Analysis, 2001 - Springer
In this work we consider a system of partial differential operators D 1, D 2 on K=[0,+∞[× R,
whose eigenfunctions are the functions φ γ (x, t),(x, t)∋ K, γ∋ Γ=((R∖ 0)× N)∪(0×[0,+∞[) …

Bernstein's inequalities and Jackson's inverse theorems in the Laguerre hypergroup

O Tyr - Analysis and Mathematical Physics, 2024 - Springer
In this research, we investigate some approximation theorems for L 2-space on the Laguerre
hypergroup which is the fundamental manifold of the radial functions space for the …