Results 1 to 10 of about 1,968,597 (257)

On the Boundedness of the Generalized Translation Operator on Variable Exponent Lebesgue Spaces

open access: yesActa Applicandae Mathematicae, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ismail Ekincioglu   +2 more
exaly   +6 more sources

A New Translation Operator by Covariant Derivative in the Generalized Space

open access: yesAdvances in Mathematical Physics
In this paper, we substituted the ordinary derivative with the covariant derivative in simple translation, that is built by applying the ordinary derivative and we investigate the new display of the simple translation.
Mehdi Jafari Matehkolaee   +1 more
doaj   +3 more sources

Generalized translation operator and approximation in several variables [PDF]

open access: yesJournal of Computational and Applied Mathematics, 2005
Generalized translation operators for orthogonal expansions with respect to families of weight functions on the unit ball and on the standard simplex are studied. They are used to define convolution structures and modulus of smoothness for these regions, which are in turn used to characterize the best approximation by polynomials in the weighted $L^p ...
Xu, Yuan
exaly   +4 more sources

A Modified Generalized Analytic Feynman Integral Associated with the Bounded Linear Operator

open access: yesAxioms, 2022
In this paper, we define a modified and generalized analytic Feynman integral associated with the bounded linear operator on abstract Wiener spaces. We then prove its existence. We also establish some modified and generalized analytic Feynman integration
Hyun Soo Chung
doaj   +3 more sources

GENERALIZATION OF TITCHMARSH’ S THEOREM FOR THE FIRST HANKEL-CLIFFORD TRANSFORM IN THE SPACE 𝑳(^𝑷 _𝝁) ((𝟎, + ∞))

open access: yesПроблемы анализа, 2022
Using a generalized translation operator, we intend to establish generalizations of the Titchmarsh theorem ( [14], theorem 84) for the first Hankel-Clifford transform for certain classes of functions in the space 𝐿(^𝑝 _𝜇) ((0, + ∞)), where 1 < 𝑝 ⩽ 2.
M. El Hamma, A. Mahfoud
doaj   +1 more source

Equivalence of K-functionals and modulus of smoothness generated by a Dunkl type operator on the interval $(-1, 1)$

open access: yesComptes Rendus. Mathématique, 2023
Our aim in this paper is to show that the modulus of smoothness and the $K$-functionals constructed from the Sobolev-type space corresponding to the Dunkl operator are equivalent on the interval $(-1,1)$.
Saadi, Faouaz, Daher, Radouan
doaj   +1 more source

On integral representation of thetranslation operator

open access: yesMathematical Modelling and Analysis, 2012
The formulation in the explicit form of quantum expression of the one-dimensional translation operator as well as Hermitian operator of momentum and its eigenfunctions are presented.
Paulius Miškinis
doaj   +1 more source

General Euler-Poisson-Darboux Equation and Hyperbolic B-Potentials

open access: yesСовременная математика: Фундаментальные направления, 2019
In this work, we develop the theory of hyperbolic equations with Bessel operators. We construct and invert hyperbolic potentials generated by multidimensional generalized translation. Chapter 1 contains necessary notation, definitions, auxiliary facts and
E L Shishkina
doaj   +1 more source

A note on maximal operators related to Laplace-Bessel differential operators on variable exponent Lebesgue spaces

open access: yesOpen Mathematics, 2021
In this paper, we consider the maximal operator related to the Laplace-Bessel differential operator (BB-maximal operator) on Lp(⋅),γ(Rk,+n){L}_{p\left(\cdot ),\gamma }\left({{\mathbb{R}}}_{k,+}^{n}) variable exponent Lebesgue spaces.
Kaya Esra
doaj   +1 more source

The operator algebra generated by the translation, dilation and multiplication semigroups [PDF]

open access: yesJournal of Functional Analysis, 2015
The weak operator topology closed operator algebra on $L^2(\bR)$ generated by the one-parameter semigroups for translation, dilation and multiplication by $e^{i\lambda x}, \lambda \geq 0,$ is shown to be a reflexive operator algebra, in the sense of Halmos, with invariant subspace lattice equal to a binest.
Kastis, Lefteris, Power, Stephen
openaire   +3 more sources

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