The equivalence of two conditions for weight functions
The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations
The formal Laplace--Borel transform of Fliess operators and the composition product.
The formal solution of Mikusiński operational differential equations with variable coefficients.
The Fourier integral for a certain class of distributions
The aim of this paper is to derive by elementary means a theorem on the representation of certain distributions in the form of a Fourier integral. The approach chosen was found suitable especially for students of post-graduate courses at technical universities, where it is in some situations necessary to restrict a little the extent of the mathematical theory when concentrating on a technical problem.
The Fourier transforms of Lipschitz functions on the Heisenberg group.
The Fourier transofrm technique for convolution equations in infinite dimensional lq-spaces.
The function and some well-known sequences.
The Gauss center research in multiscale scientific computation.
The general chain transform and self-reciprocal functions.
The generalizations of integral analog of the Leibniz rule on the G-convolutions.
An integral analog of the Leibniz rule for the operators of fractional calculus was considered in paper [1]. These operators are known to belong to the class of convolution transforms [2]. It seems very natural to try to obtain some new integral analog of the Leibniz rule for other convolution operators. We have found a general method for constructing such integral analogs on the base of notion of G-convolution [4]. Several results obtained by this method are represented in this article.
The generalized Airy diffusion equation.
The generalized sampling theorem for transforms of not necessarily square integrable functions.
The heat transform and its use in thermal identification problems for electronic circuits.
The Hilbert transform and maximal function along nonconvex curves in the plane.
In this paper we study the Hilbert transform and maximal function related to a curve in R2.
The Hilbert transform in weighted spaces of integrable vector-valued functions
The Identification Problem for the Constantly Attenuated Radon Transform.
The inversion formulae for some Bessel and hypergeometric
The Invertibility of the Radon Transform on Abstract Rotational Manifolds of Real Type.
The K-moment problem for compact semi-algebraic sets.