Results 41 to 50 of about 206 (77)

On Some Generalizations of Classical Integral Transforms [PDF]

, 2012
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 ...
Virchenko, Nina
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New convolutions for the Hartley integral transform imbedded in the Banach algebras and convolution-type integral equations

Demonstratio Mathematica
This article presents two types of the new convolutions for the Hartley integral transform associated with the Hermite functions, gives rise to the identification of some commutative and non-commutative Banach algebras, and to the Young inequalities ...
Tuan Nguyen Minh, Giang Bui Thi, Ha Quan Thai   +2 more
doaj   +1 more source

A weighted transplantation theorem for Jacobi coefficients

, 2018
We present a transplantation theorem for Jacobi coefficients in weighted spaces. In fact, by using a discrete vector-valued local Calder\'{o}n-Zygmund theory, which has recently been furnished, we prove the boundedness of transplantation operators from $\
Arenas, Alberto, Ciaurri, Óscar, Labarga, Edgar   +2 more
core   +1 more source

Solutions of certain initial-boundary value problems via a new extended Laplace transform

Nonlinear Engineering
In this article, we present a novel extended exponential kernel Laplace-type integral transform. The Laplace, natural, and Sumudu transforms are all included in the suggested transform.
Almalki Yahya, Akel Mohamed, Abdalla Mohamed   +2 more
doaj   +1 more source

α-Mellin Transform and One of Its Applications [PDF]

, 2012
MSC 2010: 35R11, 44A10, 44A20, 26A33, 33C45We consider a generalization of the classical Mellin transformation, called α-Mellin transformation, with an arbitrary (fractional) parameter α > 0. Here we continue the presentation from the paper [5], where we
Nikolova, Yanka
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Propagation Speed of the Maximum of the Fundamental Solution to the Fractional Diffusion-Wave Equation

, 2013
In this paper, the one-dimensional time-fractional diffusion-wave equation with the fractional derivative of order $1 \le \alpha \le 2$ is revisited. This equation interpolates between the diffusion and the wave equations that behave quite differently ...
Buckwar, Chen, Chen, Chernin, Francesco Mainardi, Fujita, Gorenflo, Gorenflo, Gorenflo, Gorenflo, Kochubei, Kochubei, Kreis, Liang, Luchko, Luchko, Luchko, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Mainardi, Nolan, Näsholm, Pipkin, Podlubny, Povstenko, Prüss, Schneider, Wyss, Yuri Luchko, Yuriy Povstenko   +34 more
core   +1 more source

$L^p$-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators

, 2012
In this paper we prove that the generalized (in the sense of Caffarelli and Calder\'on) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type (1,1).
Betancor, Jorge J., Castro, Alejandro J., De Nápoli, Pablo L., Fariña, Juan C., Rodríguez-Mesa, Lourdes   +4 more
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Fractional Calculus of P-transforms [PDF]

, 2010
MSC 2010: 44A20, 33C60, 44A10, 26A33, 33C20, 85A99The fractional calculus of the P-transform or pathway transform which is a generalization of many well known integral transforms is studied. The Mellin and Laplace transforms of a P-transform are obtained.
Kilbas, Anatoly, Kumar, Dilip
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Hardy-type inequalities for the generalized Mehler transform [PDF]

, 2013
We establish Hardy-type inequalities for the generalized Mehler transform on the real Hardy space H^p, 0 < p ...
KANJIN Yuichi, SATO Kunio
core   +1 more source

Hankel Multipliers And Transplantation Operators

, 1996
Connections between Hankel transforms of different order for $L^p$-functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch].
Stempak, Krzysztof, Trebels, Walter
core