The operator remainder in the Euler-Maclaurin formula.
The Pfaffian transform.
The product of a function and a Boehmian
Let A be the class of all real-analytic functions and β the class of all Boehmians. We show that there is no continuous operation on β which is ordinary multiplication when restricted to A.
The Quasiasymptotic Expansion and the Moment Expansion of Tempered Distributions
The Radon Transform for Forms of Type (1, 1) on a Complex Projective Space.
The Radon Transform for Forms of Type (1, 1) on Complex Projective Space (Erratum).
The relationship between the local temperature and the local heat flux within a one-dimensional semi-infinite domain of heat wave propagation.
The representation and the approximation of one class of exponential functions
The second continuous Jacobi transform.
The series of Mikusinski operators of the special form.
The Singularity Expansion Method applied to the transient motions of a floating elastic plate
In this paper we propose an original approach for the simulation of the time-dependent response of a floating elastic plate using the so-called Singularity Expansion Method. This method consists in computing an asymptotic behaviour for large time obtained by means of the Laplace transform by using the analytic continuation of the resolvent of the problem. This leads to represent the solution as the sum of a discrete superposition of exponentially damped oscillating motions associated to the poles...
The space of Laplace transformable distributions
The Stieltjes moment problem in vector lattices.
The Stieltjes transform of distributions.
The support theorem for the complex Radon transform of distributions.
The truncated matrix trigonometric moment problem with an open gap
This paper is a continuation of our previous investigations on the truncated matrix trigonometric moment problem in Ukrainian Math. J., 2011, 63, no. 6, 786-797, and Ukrainian Math. J., 2013, 64, no. 8, 1199- 1214. In this paper we shall study the truncated matrix trigonometric moment problem with an additional constraint posed on the matrix measure MT(δ), δ ∈ B(T), generated by the seeked function M(x): MT(∆) = 0, where ∆ is a given open subset of T (called a gap). We present necessary and sufficient...
The wavelet transform on Sobolev spaces and its approximation properties.
The -transformation on McBride’s spaces of generalized functions
An integral transform denoted by that generalizes the well-known Laplace and Meijer transformations, is studied in this paper on certain spaces of generalized functions introduced by A.C. McBride by employing the adjoint method.
Theorem of differential equations for Mikusinski operators.
Theorem on association of variables in multidimensional Laplace transforms.