Solution to the triharmonic heat equation.
Solutions of a partial differential equation related to the oplus operator.
Solutions to some nonlinear PDE's in the form of Laplace type integrals
A nonlinear equation in 2 variables is considered. A formal solution as a series of Laplace integrals is constructed. It is shown that assuming some properties of Char P, one gets the Gevrey class of such solutions. In some cases convergence “at infinity” is proved.
Some remarks on the theory of the Laguerre-Pinney transformation.
Some remarks on the theory of the Laguerre-Pinney transformation.(Short Communication).
Stieltjes transforms on new generalized functions.
Tauberian theorem for the distributional Stieltjes transformation.
Tauberian theorems for generalized functions in the scale of regularly varying functions and functionals.
Tauberian-type theorems with application to the Stieltjes transformation.
Taylor formula for distributions [Book]
The distributional 1F1-Transform.
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 heat transform and its use in thermal identification problems for electronic circuits.
The Heisenberg group and the group Fourier transform of regular homogeneous distributions
The Identification Problem for the Constantly Attenuated Radon Transform.
The index -transform of generalized functions
In this paper the index transformation
The kernel theorem for Laplace ultradistributions
A kernel theorem for spaces of Laplace ultradistributions supported by an n-dimensional cone of product type is stated and proved.
The Lambert transform on
The Laplace transform of analytic vector-valued functions (complex conditions)
The Laplace transform of analytic vector-valued functions (real conditions)