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Statistical Properties of Pegg-Barnett Coherent States
In this work, we introduce three families of quantum states associated with the Pegg-Barnett phase operators : i) Phase states defined as eigenstates...
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Existence and Relaxation of Solutions for a Differential Inclusion with Maximal Monotone Operators and Perturbations
AbstractA differential inclusion with a time-dependent maximal monotone operator and a perturbation is studied in a separable Hilbert space. The...
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An adaptive grey wolf optimization with differential evolution operator for solving the discount {0–1} knapsack problem
The discount {0–1} knapsack problem (D {0–1} KP) is a new variant of the knapsack problem. It is an NP-hard problem and also a binary optimization...
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Generalized Solutions of Degenerate Integro-Differential Equations in Banach Spaces
In this paper, we present a technique for constructing generalized solutions of the Cauchy problem for abstract integro-differential equations with...
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Results on Meromorphic Function Sharing Two Sets with Its Linear \(\boldsymbol{c}\)-Difference Operator
AbstractIn this paper, the existing results concerning difference operator sharing two sets have been extended up to the most general form, namely...
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Asymptotics of the eigenvalues of a two-term fourth-order operator with boundary conditions dependent on the spectral parameter
We consider a fourth-order ordinary differential operator with boundary conditions dependent on the spectral parameter. The potential is real-valued...
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Sequences of Uncountable Iterated Function Systems: The Convergence of the Sequences of Fractals and Fractal Measures Associated
In this paper, we consider a sequence of uncountable iterated function system (U.I.F.S.). Each term of this sequence is built using an uncountable...
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Dirichlet Problem on the Half-Line for an Abstract Euler–Poisson–Darboux Equation Containing Powers of an Unbounded Operator
AbstractWe consider an abstract Euler–Poisson–Darboux equation containing powers of an unbounded operator that is the generator of a Bessel operator...
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A Class of Quasilinear Equations with Hilfer Derivatives
AbstractWe study the solvability of a Cauchy type problem for linear and quasilinear equations with Hilfer fractional derivatives solved for the...
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An Approach of Non-stationary Harmonics Decomposition Based on Operator Approximated by Radial Base Function
With reference to the signal decomposition method based on operator, a method of approximating operator by radial basis function (RBF) is proposed....
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Models of Self-Adjoint and Unitary Operators in Pontryagin Spaces
This article is a revised version of the lectures given by the author at KROMSH-2019. These lectures are devoted to describing a few different ways...
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Characteristic Matrix Functions and Periodic Delay Equations
In the first part of this chapter we recall the notion of a characteristic matrix function for classes of operators as introduced in Kaashoek and...
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A Note on the Matrix Moment Problem and its Relation with Matrix Biorthogonal Polynomials
In this manuscript, we study the operator moment problem for a block tridiagonal non-symmetric matrix. To study this problem, we used the relation...
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On the convergence of numerical integration as a finite matrix approximation to multiplication operator
We study the convergence of a family of numerical integration methods where the numerical integration is formulated as a finite matrix approximation...
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Resolvent and Proximal Compositions
We introduce the resolvent composition, a monotonicity-preserving operation between a linear operator and a set-valued operator, as well as the...
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Quantum Curve and Bilinear Fermionic Form for the Orbifold Gromov–Witten Theory of ℙ[r]
We construct the quantum curve for the Baker–Akhiezer function of the orbifold Gromov–Witten theory of the weighted projective line ℙ[ r ]....
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Entanglement entropy as a marker of phase transition in the Ising model
The uniform two-dimensional tensor network of the partition function is interpreted as a multiple product of the one-dimensional quantum Hamiltonian,...
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On the Similarity of Boundary Triples of Symmetric Operators in Krein Spaces
It is a classical result that the Weyl function of a simple symmetric operator in a Hilbert space determines a boundary triple uniquely up to unitary...
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Banach Function Algebras, Arens Regularity, and BSE Norms
This book is about semisimple Banach algebras with a focus on those that are commutative.
After laying out the necessary background material from...
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Singular Integral Operators with Rough Kernel on Function Spaces Over Local Fields
In this article we study the boundedness of classical singular integral operator over local fields with rough kernel. We are relaxing the smoothness...