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Spectral synthesis for exponentials and logarithmic length
We study hereditary completeness of systems of exponentials on an interval such that the corresponding generating function G is small outside of a...
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Some Inequalities Between Ahlfors Regular Conformal Dimension And Spectral Dimensions For Resistance Forms
Quasisymmetric maps are well-studied homeomorphisms between metric spaces preserving annuli, and the Ahlfors regular conformal dimension
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Functional-Differential Operators on Geometrical Graphs with Global Delay and Inverse Spectral Problems
We suggest a new concept of functional-differential operators with constant delay on geometrical graphs that involves global delay parameter....
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Principal spectral theory in multigroup age-structured models with nonlocal diffusion
In modeling the population dynamics of biological species and the transmission dynamics of infectious diseases, age-structure and nonlocal diffusion...
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On a characterization of the Rellich–Kondrachov theorem on groups and the Bloch spectral cell equation
This paper is concerned with the Rellich–Kondrachov Theorem on Groups. We establish some conditions which characterize in a precise manner important...
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Pseudo Numerical Ranges and Spectral Enclosures
We introduce the new concepts of pseudo numerical range for operator functions and families of sesquilinear forms as well as the pseudo block...
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Spectral Theory of Compact Operators
The properties of spectrum of compact operator in infinite-dimensional Banach space are established. Hilbert-Schmidt theorem is formulated. Solving... -
Topological Entropy and Sequence Entropy for Hom Tree-Shifts on Unexpandable Trees
This article explores the topological entropy and topological sequence entropy of hom tree-shifts on unexpandable trees. Regarding topological...
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Littlewood-Paley Theorem, Nikolskii Inequality, Besov Spaces, Fourier and Spectral Multipliers on Graded Lie Groups
In this paper we investigate Besov spaces on graded Lie groups. We prove a Nikolskii type inequality (or the Reverse Hölder inequality) on graded Lie...
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Spectral variational multi-scale method for parabolic problems: application to 1D transient advection-diffusion equations
In this work, we introduce a variational multi-scale (VMS) method for the numerical approximation of parabolic problems, where sub-grid scales are...
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Spectral properties of cBCK-algebras
In this paper we study prime spectra of commutative BCK-algebras. We give a new construction for commutative BCK-algebras using rooted trees, and...
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Commutative Algebras of Toeplitz Operators on the Bergman Space Revisited: Spectral Theorem Approach
For three standard models of commutative algebras generated by Toeplitz operators in the weighted analytic Bergman space on the unit disk, we find...
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Bounds for spectral projectors on generic tori
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state...
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On the Eigenvalues of Spectral Gaps of Elliptic PDEs on Waveguides
A method of calculating eigenvalues in the spectral gaps of self-adjoint elliptic partial differential equations on waveguides is presented. It is...
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The Signless p-Laplacian Spectral Radius of Graphs with Given Degree Sequences
In this paper, we consider the spectral radius of signless p -Laplacian of a graph, which is a generalization of the quadratic form of the signless...
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Elementary Spectral Properties of Quantum Graphs
Our first step will be to give a rigorous, self-contained definition of a quantum graph—Schrödinger operator on a metric graph. -
A Numerical Procedure for Fractional-Time-Space Differential Equations with the Spectral Fractional Laplacian
The aim of this chapter is to device a computationally effective procedure for numerically solving fractional-time-space differential equations with...