Results 1 to 10 of about 138 (121)

Natural Lacunae Method and Schatten–Von Neumann Classes of the Convergence Exponent

Mathematics, 2022
Our first aim is to clarify the results obtained by Lidskii devoted to the decomposition on the root vector system of the non-selfadjoint operator. We use a technique of the entire function theory and introduce a so-called Schatten–von Neumann class of ...
Maksim V. Kukushkin
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On One Method of Studying Spectral Properties of Non-selfadjoint Operators

Abstract and Applied Analysis, 2020
In this paper, we explore a certain class of Non-selfadjoint operators acting on a complex separable Hilbert space. We consider a perturbation of a nonselfadjoint operator by an operator that is also nonselfadjoint.
Maksim V. Kukushkin
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New results on the continuous Weinstein wavelet transform [PDF]

Journal of Inequalities and Applications, 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 $\mathcal {S}_{h}^{W}$ .
Hatem Mejjaoli, Ahmedou Ould Ahmed Salem
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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
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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
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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
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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.
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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
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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
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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
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