Results 11 to 20 of about 6,332 (238)

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

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

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

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

Quantum Mechanics and Quantum Field Theory: Algebraic and Geometric Approaches

open access: yesUniverse, 2023
This is a non-standard exposition of the main notions of quantum mechanics and quantum field theory, including recent results. It is based on the algebraic approach in which the starting point is a star-algebra and on the geometric approach in which the ...
Igor Frolov, Albert Schwarz
doaj   +1 more source

Generalized variation and translation operator in some sequence spaces [PDF]

open access: yesHokkaido Mathematical Journal, 1988
Let X be the space of all real sequences. We consider two subsets X(\(\psi)\) and X(\(\phi\),\(\psi)\) defined by means of the sequential modulus and \(\phi\)-variation of sequences. Let \(X_{\zeta}\) be a modular space defined by a pseudomodular \(\zeta\) in X. Then \(\bar c=e_ 1\oplus e\) where \(e_ 1=(1,0,0,...)\) and \(e=(1,1,1,...)\), \(X^{\sim}_{\
MUSIELAK, J., WASZAK, A.
openaire   +2 more sources

Non-Markovian dynamics under time-translation symmetry

open access: yesPhysical Review Research, 2022
A dynamical symmetry is employed to determine the structure of the quantum non-Markovian time-local master equation. Such a structure is composed from two components: scalar kinetic coefficients and the standard quantum Markovian operator form.
Roie Dann, Nina Megier, Ronnie Kosloff
doaj   +1 more source

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