On the image of a generalized -plane transform on .
On the integrability of a class of integral transforms
On the integrability of the ergodic Hilbert transform for a class of functions with equal absolute values.
On the integral transformation associated with the product of gamma-functions.
On the integration schemes of retrieving impulse response functions from transfer functions.
On the Inversion of the Attenuated Radon Transform.
On the Laplace transform - I
On the Laplace Transforms of Logconcave Densities
On the Lebedev transformation in Hardy's spaces.
On the Legendre and Laplace transformations
On the logarithmic potential defined for a Van Koch curve.
On the Mehler-Fock integral transform in Lp-spaces.
On the Meijer transformation.
On the Mellin Transforms of Dirac’S Delta Function, The Hausdorff Dimension Function, and The Theorem by Mellin
Mathematics Subject Classification: 44A05, 46F12, 28A78We prove that Dirac’s (symmetrical) delta function and the Hausdorff dimension function build up a pair of reciprocal functions. Our reasoning is based on the theorem by Mellin. Applications of the reciprocity relation demonstrate the merit of this approach.
On the Operational Solution of a System of Fractional Differential Equations
MSC 2010: 26A33, 44A45, 44A40, 65J10We consider a linear system of differential equations with fractional derivatives, and its corresponding system in the field of Mikusiński operators, written in a matrix form, by using the connection between the fractional and the Mikusiński calculus. The exact and the approximate operational solution of the corresponding matrix equations, with operator entries are determined, and their characters are analyzed. By using the packages Scientific Work place and...
On the Operator Solutions of Difference Equations
On the polyconvolution with the weight function for the Fourier cosine, Fourier sine, and the Kontorovich-Lebedev integral transforms.
On the positive definiteness of n (a sequence of exponentials).
We find sharp asymptotic estimates for a sequence of exponentials to define a positive definite bilinear form.
On the post-Widder transform.
On the powers of quasihomogeneous Toeplitz operators
We present sufficient conditions for the existence of th powers of a quasihomogeneous Toeplitz operator , where is a radial polynomial function and , are natural numbers. A large class of examples is provided to illustrate our results. To our best knowledge those examples are not covered by the current literature. The main tools in the proof of our results are the Mellin transform and some classical theorems of complex analysis.