Results 1 to 10 of about 140 (21)
Bound States of Discrete Schroedinger Operators with Super-Critical Inverse Square Potentials [PDF]
, 2005 We consider discrete one-dimensional Schroedinger operators whose potentials decay asymptotically like an inverse square. In the super-critical case, where there are infinitely many discrete eigenvalues, we compute precise asymptotics of the number of ...
Damanik, David, Teschl, Gerald
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Spectral properties of magnetic chain graphs [PDF]
, 2015 We discuss spectral properties of a charged quantum particle confined to a chain graph consisting of an infinite array of rings under influence of a magnetic field assuming a $\delta$-coupling at the points where the rings touch.
Exner, Pavel, Manko, Stepan
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Laplace - Fibonacci transform by the solution of second order generalized difference equation
Nonautonomous Dynamical Systems, 2017 The main objective of this paper is finding new types of discrete transforms with tuning factor t. This is not only analogy to the continuous Laplace transform but gives discrete Laplace-Fibonacci transform (LFt). This type of Laplace-Fibonacci transform
Pinelas Sandra +3 more
doaj +1 more source
Path Laplacian operators and superdiffusive processes on graphs. I. One-dimensional case [PDF]
, 2017 We consider a generalization of the diffusion equation on graphs. This generalized diffusion equation gives rise to both normal and superdiffusive processes on infinite one-dimensional graphs.
Estrada, Ernesto +3 more
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On unbounded commuting Jacobi operators and some related issues
Concrete Operators, 2019 We consider the situations, when two unbounded operators generated by infinite Jacobi matrices, are self-adjoint and commute. It is found that if two Jacobi matrices formally commute, then two corresponding operators are either self-adjoint and commute ...
Osipov Andrey
doaj +1 more source
On the completely indeterminate case for block Jacobi matrices
Concrete Operators, 2017 We consider the infinite Jacobi block matrices in the completely indeterminate case, i. e. such that the deficiency indices of the corresponding Jacobi operators are maximal.
Osipov Andrey
doaj +1 more source
A Cayley-Hamiltonian Theorem for Periodic Finite Band Matrices [PDF]
, 2017 Let K be a doubly infinite, self-adjoint matrix which is finite band (i.e. K_(jk) = 0 if |j – k| > m) and periodic (K S^n = S^n K for some n where (Su)_j = u_(j+1)) and non-degenerate (i.e. K_(jj+m) ≠ = 0 for all j). Then, there is a polynomial, p(x, y),
Simon, Barry
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Stability of Quadratic Projection Methods
, 2006 In this paper we discuss the stability of an alternative pollution-free procedure for computing spectra. The main difference with the Galerkin method lies in the fact that it gives rise to a weak approximate problem which is quadratic in the spectral ...
L. Boulton +3 more
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Singular Weyl-Titchmarsh-Kodaira Theory for Jacobi Operators [PDF]
, 2012 We develop singular Weyl-Titchmarsh-Kodaira theory for Jacobi operators. In particular, we establish existence of a spectral transformation as well as local Borg-Marchenko and Hochstadt-Liebermann type uniqueness results.Comment: 16 ...
Eckhardt, Jonathan, Teschl, Gerald
core +4 more sources
On Fourier integral transforms for $q$-Fibonacci and $q$-Lucas polynomials
, 2012 We study in detail two families of $q$-Fibonacci polynomials and $q$-Lucas polynomials, which are defined by non-conventional three-term recurrences.
Andrews G E +18 more
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