Results 11 to 20 of about 95 (87)

New results on the continuous Weinstein wavelet transform. [PDF]

J Inequal Appl, 2017
We consider the continuous wavelet transform S h W $\mathcal{S}_{h}^{W}$ associated with the Weinstein operator. We introduce the notion of localization operators for S h W $\mathcal {S}_{h}^{W}$ .
Mejjaoli H, Ould Ahmed Salem A.
europepmc   +2 more sources

Abstract Evolution Equations with an Operator Function in the Second Term

Axioms, 2022
In this paper, having introduced a convergence of a series on the root vectors in the Abel-Lidskii sense, we present a valuable application to the evolution equations.
Maksim V. Kukushkin
doaj   +1 more source

Cauchy Problem for an Abstract Evolution Equation of Fractional Order

Fractal and Fractional, 2023
In this paper, we define an operator function as a series of operators corresponding to the Taylor series representing the function of the complex variable.
Maksim V. Kukushkin
doaj   +1 more source

Evolution Equations in Hilbert Spaces via the Lacunae Method

Fractal and Fractional, 2022
In this paper, we consider evolution equations in the abstract Hilbert space under the special conditions imposed on the operator at the right-hand side of the equation.
Maksim V. Kukushkin
doaj   +1 more source

Note on the spectral theorem for unbounded non-selfadjoint operators

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2022
In this paper, we deal with non-selfadjoint operators with the compact resolvent. Having been inspired by the Lidskii idea involving a notion of convergence of a series on the root vectors of the operator in a weaker – Abel-Lidskii sense, we proceed ...
Kukushkin, M.V.
doaj   +1 more source

Time-Frequency Concentration Associated with the Multidimensional Hankel-Wavelet Transform

Pan-American Journal of Mathematics
The main goal of this paper is to define a new integral transform called the multidimensional Hankel-wavelet transform and to give some new results related to this transform as generalized Parseval’s, Plancherel’s, inversion and Calderon’s reproducing ...
Ahmed Chana, Abdellatif Akhlidj
doaj   +1 more source

Localization Operators for the Linear Canonical Dunkl Windowed Transformation

Axioms
One of the best known time–frequency tools for examining non-transient signals is the linear canonical windowed transform, which has been used extensively in signal processing and related domains. In this paper, by involving the harmonic analysis for the
Saifallah Ghobber, Hatem Mejjaoli
doaj   +1 more source

On the Essential Decreasing of the Summation Order in the Abel-Lidskii Sense

Mathematics
In this paper, we consider a problem of decreasing the summation order in the Abel-Lidskii sense. The problem has a significant prehistory since 1962 created by such mathematicians as Lidskii V.B., Katsnelson V.E., Matsaev V.I., Agranovich M.S. As a main
Maksim V. Kukushkin
doaj   +1 more source

Wavelet transform, Toeplitz type operators and decomposition of functions on the upper half-plane

Journal of Numerical Analysis and Approximation Theory, 1992
In this paper we consider the decomposition of functions on the upper half-plane into orthogonal subspaces which are isometric to \(L^{2}(\mathbb{R})\) by continuous wavelet transforms.
Ding-Xuan Zhou
doaj   +2 more sources

Cybersecurity Driven Quantum Digital Twin for Proactive Threat Reversal in Open RAN

IET Quantum Communication, Volume 7, Issue 1, January/December 2026.
This paper presents a novel cybersecurity‐driven quantum digital twin (CQDT) architecture for proactive defence in 6G Open RAN. By integrating quantum observables and reinforcement learning, the framework maintains high fidelity and suppresses entropy under adversarial CPTP noise. CQDT achieves real‐time adaptation with sub‐20 ms latency, meeting URLLC
Yassir Al‐Karawi, Raad S. Alhumaima, Hamed Al‐Raweshidy   +2 more
wiley   +1 more source