On Malgrange Theorem for Nuclear Holomorphic Functions in Open Balls of a Banach Space.
On Meijer transform
On Mikusinski's perators of fractional integration
On multiplication of some generalized functions
On power series in the differentiation operator
On power series in the operators
On q-Laplace Transforms of the q-Bessel Functions
Mathematics Subject Classification: 33D15, 44A10, 44A20The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.
On rational classical orthogonal polynomials and their application for explicit computation of inverse Laplace transforms.
On self-reciprocal functions in two variables
On singular integrals of functions in L¹
On some Brownian functionals and their applications to moments in the lognormal stochastic volatility model
We find a probabilistic representation of the Laplace transform of some special functional of geometric Brownian motion using squared Bessel and radial Ornstein-Uhlenbeck processes. Knowing the transition density functions of these processes, we obtain closed formulas for certain expectations of the relevant functional. Among other things we compute the Laplace transform of the exponent of the T transforms of Brownian motion with drift used by Donati-Martin, Matsumoto, and Yor in a variety of identities...
On some differential and integro-differential equations associated with Jaocobi's differential equation.
On Some Generalizations of Classical Integral Transforms
MSC 2010: 44A15, 44A20, 33C60Using the generalized confluent hypergeometric function [6] some new integral transforms are introduced. They are generalizations of some classical integral transforms, such as the Laplace, Stieltjes, Widder-potential, Glasser etc. integral transforms. The basic properties of these generalized integral transforms and their inversion formulas are obtained. Some examples are also given.
On Some of Professor Peter Rusev's Contributions
MSC 2010: 33-00, 33C45, 33C52, 30C15, 30D20, 32A17, 32H02, 44A05The 6th International Conference "Transform Methods and Special Functions' 2011", 20 - 23 October 2011 was dedicated to the 80th anniversary of Professor Peter Rusev, as one of the founders of this series of international meetings in Bulgaria, since 1994. It is a pleasure to congratulate the Jubiliar on behalf of the Local Organizing Committee and International Steering Committee, and to present shortly some of his life achievements...
On some singular integral operatorsclose to the Hilbert transform
Let m: ℝ → ℝ be a function of bounded variation. We prove the -boundedness, 1 < p < ∞, of the one-dimensional integral operator defined by where for a family of functions satisfying conditions (1.1)-(1.3) given below.
On Sumudu transform and system of differential equations.
On the -integrability of singular integral transforms
In this article we study the weak type Hardy space of harmonic functions in the upper half plane and we prove the -integrability of singular integral transforms defined by Calderón-Zygmund kernels. This generalizes the corresponding result for Riesz transforms proved by Alexandrov.
On the a.e. convergence of convolution integrals and related problems
On the analytic form of the discrete Kramer sampling theorem.