Inversion of the dual Dunkl-Sonine transform on using Dunkl wavelets.
Inversion of the Poisson-Hankel transform.
Inversion of the Weyl Integral Transform and the Radon Transform on Rn Using Generalized Wavelets.
Iterated Stieltjes transform of generalized functions.
Jacobi and Hankel Multipliers of Type (p,q},1<p<q<oo.
Krätzel Function as a Function of Hypergeometric Type
2000 Mathematics Subject Classification: 33C60, 33C20, 44A15The paper is devoted to the study of the function Zνρ(x) defined for positive x > 0, real ρ ∈ R and complex ν ∈ C, being such that Re(ν) < 0 for ρ ≤ 0, [...] Such a function was earlier investigated for ρ > 0. Using the Mellin transform of Zνρ(x), we establish its representations in terms of the H-function and extend this function from positive x > 0 to complex z. The results obtained, being different for ρ > 0 and ρ <...
-integrability (1 ≤ p ≤ ∞) of a class of integral transforms
La transformación de Hankel-clifford en ciertos espacios de distribuciones
Laguerre polynomials in the inversion of Mellin transform
In order to use the well known representation of the Mellin transform as a combination of two Laplace transforms, the inverse function is represented as an expansion of Laguerre polynomials with respect to the variable . The Mellin transform of the series can be written as a Laurent series. Consequently, the coefficients of the numerical inversion procedure can be estimated. The discrete least squares approximation gives another determination of the coefficients of the series expansion. The last...
Legendre transforms and -particle irreducibility in quantum field theory : the formalism for fermions
Littlewood-Paley-Stein theory on Cn and Weyl multipliers.
Markov Chains, Riesz Transforms and Lipschitz Maps.
Maximal functions and Hilbert transforms associated to polynomials.
Mean-Periodic Functions Associated with the Jacobi-Dunkl Operator on R
2000 Mathematics Subject Classification: 34K99, 44A15, 44A35, 42A75, 42A63Using a convolution structure on the real line associated with the Jacobi-Dunkl differential-difference operator Λα,β given by: Λα,βf(x) = f'(x) + ((2α + 1) coth x + (2β + 1) tanh x) { ( f(x) − f(−x) ) / 2 }, α ≥ β ≥ −1/2 , we define mean-periodic functions associated with Λα,β. We characterize these functions as an expansion series intervening appropriate elementary functions expressed in terms of the derivatives of the...
Modified dyadic derivatives and integrals of fractional order on .
Modulation invariant and multilinear singular integral operators
In a series of papers beginning in the late 1990s, Michael Lacey and Christoph Thiele have resolved a longstanding conjecture of Calderón regarding certain very singular integral operators, given a transparent proof of Carleson’s theorem on the almost everywhere convergence of Fourier series, and initiated a slew of further developments. The hallmarks of these problems are multilinearity as opposed to mere linearity, and especially modulation symmetry. By modulation is meant multiplication by characters...
Multipliers and operators on the tempered ultradistribution spaces of Roumieu type for the distributional Hankel-type transformation spaces.
Multivariate Interpolation and the Radon Transform.
New inversion formulas for the Krätzel transformation.
Nonconvex duality