On the solvability of algebraic equations in the field of Mikusinski's operators
On the spectrum of multipliers in Bessel potential spaces
On the Stieltjes moment problem on semigroups
We characterize finitely generated abelian semigroups such that every completely positive definite function (a function all of whose shifts are positive definite) is an integral of nonnegative miltiplicative real-valued functions (called nonnegative characters).
On the structure of Mellin distributions
On the topological structure of Mikusinski's operators
On the two weights problem for the Hilbert transform.
In this paper, we prove sufficient conditions on pairs of weights (u,v) (scalar, matrix or operator valued) so that the Hilbert transform H f(x) = p.v. ∫ [f(y) / x - y] dy,is bounded from L2(u) to L2(v).
On the two-dimensional moment problem.
On the unification of generalized Hermite and Laguerre polynomials.
On the Uniform Convergence of Partial Dunkl Integrals in Besov-Dunkl Spaces
2000 Mathematics Subject Classification: 44A15, 44A35, 46E30In this paper we prove that the partial Dunkl integral ST(f) of f converges to f, as T → +∞ in L^∞(νµ) and we show that the Dunkl transform Fµ(f) of f is in L^1(νµ) when f belongs to a suitable Besov-Dunkl space. We also give sufficient conditions on a function f in order that the Dunkl transform Fµ(f) of f is in a L^p -space.* Supported by 04/UR/15-02.
On the Yosida approximation and the Widder-Arendt representation theorem
The Yosida approximation is treated as an inversion formula for the Laplace transform.
On two new characterizations of Stieltjes transforms for distributions.
On type II convergence in the Miklusiński operational calculus
On weak restricted estimates and endpoints problems for convolutions with oscillating kernels (II)
On Y. Nievergelt's Inversion Formula for the Radon Transform
Mathematics Subject Classification 2010: 42C40, 44A12.In 1986 Y. Nievergelt suggested a simple formula which allows to reconstruct a continuous compactly supported function on the 2-plane from its Radon transform. This formula falls into the scope of the classical convolution-backprojection method. We show that elementary tools of fractional calculus can be used to obtain more general inversion formulas for the k-plane Radon transform of continuous and L^p functions on R^n for all 1 ≤ k < n....
Opérateurs de convolution définis à partir d'une forme quadratique
Opérateurs Paraboliques Dans Le Calcul Opérationnel Des Distributions A Support Dans Rn+ n ≥ 1
Operational calculi for Kontorovich-Lebedev and Mehler-Fock transforms on distributions with compact support.
Operational Calculi for the Euler Operator
2000 Mathematics Subject Classification: 44A40, 44A35A direct algebraic construction of a family of operational calculi for the Euler differential operator δ = t d/dt is proposed. It extends the Mikusiński's approach to the Heaviside operational calculus for the case when the classical Duhamel convolution is replaced by the convolution ...
Operational calculus and differential equations with infinitely smooth coefficients.
Operational calculus and Fourier transform on Boehmians
We define various operations on the space of ultra Boehmians like multiplication with certain analytic functions which are Fourier transforms of compactly supported distributions, polynomials, and characters , translation, differentiation. We also prove that the Fourier transform on the space of ultra Boehmians has all the operational properties as in the classical theory.