Opérateurs Paraboliques Dans Le Calcul Opérationnel Des Distributions A Support Dans Rn+ n ≥ 1
Operational calculi for Kontorovich-Lebedev and Mehler-Fock transforms on distributions with compact support.
Operational Calculi for the Euler Operator
2000 Mathematics Subject Classification: 44A40, 44A35A direct algebraic construction of a family of operational calculi for the Euler differential operator δ = t d/dt is proposed. It extends the Mikusiński's approach to the Heaviside operational calculus for the case when the classical Duhamel convolution is replaced by the convolution ...
Operational calculus and differential equations with infinitely smooth coefficients.
Operational calculus and Fourier transform on Boehmians
We define various operations on the space of ultra Boehmians like multiplication with certain analytic functions which are Fourier transforms of compactly supported distributions, polynomials, and characters , translation, differentiation. We also prove that the Fourier transform on the space of ultra Boehmians has all the operational properties as in the classical theory.
Operational calculus for the continuous Legendre transform with applications.
Operational identities for circular and hyperbolic functions and their generalizations.
Operational Methods in the Environment of a Computer Algebra System
This article presents the principal results of the doctoral thesis “Direct Operational Methods in the Environment of a Computer Algebra System” by Margarita Spiridonova (Institute of mathematics and Informatics, BAS), successfully defended before the Specialised Academic Council for Informatics and Mathematical Modelling on 23 March, 2009.The presented research is related to the operational calculus approach and its representative applications. Operational methods are considered, as well as their...
Operational properties of a generalized Hermite transformation.
Operational relations related to a function defined by a generalized Rodrigues' formula.
Operational Rules for a Mixed Operator of the Erdélyi-Kober Type
2000 Mathematics Subject Classification: 26A33 (main), 44A40, 44A35, 33E30, 45J05, 45D05In the paper, the machinery of the Mellin integral transform is applied to deduce and prove some operational relations for a general operator of the Erdélyi-Kober type. This integro-differential operator is a composition of a number of left-hand sided and right-hand sided Erdélyi-Kober derivatives and integrals. It is referred to in the paper as a mixed operator of the Erdélyi-Kober type. For special values of...
Operator
Operator Homomorhisms.
Operators associated with representations of amenable groups singular integrals induced by ergodic flows, the rotation method and multipliers
Operators which commute with convolutions on subspaces of
Orthogonal Polynomials, L2-Spaces and Entire Functions.
Paley-Wiener theorems for the Mellin transformation
Paley-Wiener-type theorem for a class of integral transforms arising from a singular Dirac system.
Periodic Boehmians.
Periodicity in quasipolynomial convolution.