Wavelets have recently been enjoying a period of popularity and rapid growth, and the
influence of wavelet methods now extends well beyond mathematics into a number of …

Abstract We provide K=[0,+∞[× ℝ with a generalized convolution product⋆ related to
Laguerre functions. We prove that (K,⋆) is a hyper-group in the sense of Jewett called …

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,+∞[) …

We study strongly negative definite functions on the product dual hypergroups and use their
properties to give a proof of the Lévy-khin cin formula. Finally, as an application we give the …

We first study Lévy measures, Poisson and Gaussian convolution semigroups on
commutative hypergroups. Then we present a Lévy-Khintchine type representation of a …

In this paper for a positive real number α we consider two partial differential operators D and
D α on the half–plane K= 0,+ ∞ * R. We define a generalized Fourier transform F _ α …

We introduce local Sturm–Liouville hypergroups and prove a Lévy–Khintchine formula for
generators of convolution semigroups on these hypergroups. Then we show that many well …

Positive and negative definite functions are basic tools in analysis and probability theory.
Their relationship to representations of groups is fundamental to abstract harmonic analysis …

Abstract top 2000 Mathematics Subject Classification: 42B10, 43A32. In this paper we take
the strip KL=[0,+∞[×[− Lπ, Lπ], where L is a positive integer. We consider, for a nonnegative …

In this work we prove a representation theorem for generalized Laplacians on certain types
of bounded domains D of As applications we give a Lévy-Khintchine formula for certain k …