O aproximací obrazu v Hilbertově transformací ortogonálními řadami racionálních lomených funkcí
On 1-regular ordinary differential operators
Solutions to singular linear ordinary differential equations with analytic coefficients are found in the form of Laplace type integrals.
On a convolution type integral I
On a fundamental theorem of the Laplace transform theory
On a generalization of the Laplace transform
On a Generalized Integral Transform. II.
On a Hilbert-type transform
On a new approach to convolution constructions.
On a new integral transform and differential equations.
On a non-self adjoint eigenfunction expansion.
On a non-self adjoint expansion formula.
On a solution of nonlinear differential equation of Mikusinski operators W' (z) = -s... a (z) W... (z).
On A Solution Of The Nonlinear Differential Equation Of Mikusinski Operators W'(z)=-sαa(z)Wn+1(z)
On a testing-function space for distributions associated with the Kontorovich-Lebedev transform.
We construct a testing function space, which is equipped with the topology that is generated by Lν,p - multinorm of the differential operatorAx = x2 - x d/dx [x d/dx],and its k-th iterates Akx, where k = 0, 1, ... , and A0xφ = φ. Comparing with other testing-function spaces, we introduce in its dual the Kontorovich-Lebedev transformation for distributions with respect to a complex index. The existence, uniqueness, imbedding and inversion properties are investigated. As an application we find a solution...
On a theorem of Kłosowska about generalised convolutions
On a variant of the Meijer integral transformation
On a variational approach to truncated problems of moments
We characterize the existence of the solutions of the truncated moments problem in several real variables on unbounded supports by the existence of the maximum of certain concave Lagrangian functions. A natural regularity assumption on the support is required.
On an integral equation.
On an integral transform.
On an integral transform.