The analysis of a class of exponential operation functions.
The Closure In The Space Of Mikusinski's Operators
The closure in the space of Mikusinski's operators.
The dual space of .
The existence and the uniqueness of distributional solutions of some systems of non-linear differential equations
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 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 representation and the approximation of one class of exponential functions
The series of Mikusinski operators of the special form.
Theorem of differential equations for Mikusinski operators.
Theorem On Differential Equations For Mikusinski Operators
Two Integral Equations In The Field Of Mikusinski Operators
Two integral equations in the field of Mikusinski operators.