Results 11 to 20 of about 140 (21)
A version of Gordon's theorem for multi-dimensional Schrödinger operators [PDF]
, 2004 We consider discrete Schrödinger operators in H = Δ + V in ℓ^2(Z^d) with d ≥ 1, and study the eigenvalue problem for these operators. It is shown that the point spectrum is empty if the potential V is sufficiently well approximated by periodic potentials.
Damanik, David
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On the Two Spectra Inverse Problem for Semi-Infinite Jacobi Matrices
, 2007 We present results on the unique reconstruction of a semi-infinite Jacobi operator from the spectra of the operator with two different boundary conditions.
B. Simon +25 more
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The Two-Spectra Inverse Problem for Semi-Infinite Jacobi Matrices in The Limit-Circle Case
, 2008 We present a technique for reconstructing a semi-infinite Jacobi operator in the limit circle case from the spectra of two different self-adjoint extensions.
B. Simon +33 more
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A discrete realization of the higher rank Racah algebra
, 2019 In previous work a higher rank generalization $R(n)$ of the Racah algebra was defined abstractly. The special case of rank one encodes the bispectrality of the univariate Racah polynomials and is known to admit an explicit realization in terms of the ...
De Bie, Hendrik, van de Vijver, Wouter
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Spectral analysis for adjacency operators on graphs
, 2006 We put into evidence graphs with adjacency operator whose singular subspace is prescribed by the kernel of an auxiliary operator. In particular, for a family of graphs called admissible, the singular continuous spectrum is absent and there is at most an ...
de Aldecoa, R. Tiedra +2 more
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Spectral gaps and discrete magnetic Laplacians
, 2018 The aim of this article is to give a simple geometric condition that guarantees the existence of spectral gaps of the discrete Laplacian on periodic graphs.
Fabila-Carrasco, John Stewart +2 more
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A generalization of starlike functions of order alpha [PDF]
, 2015 For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
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On discrete analytic functions: Products, Rational Functions, and some Associated Reproducing Kernel Hilbert Spaces [PDF]
, 2012 We introduce a family of discrete analytic functions, called expandable discrete analytic functions, which includes discrete analytic polynomials, and define two products in this family.
Alpay, Daniel +3 more
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Asymptotic iteration method for solving Hahn difference equations. [PDF]
Adv Differ Equ, 2021 MacQuarrie L, Saad N, Islam MS.
europepmc +1 more source
Parametrization of spectral surfaces of a class of periodic 5-diagonal matrices
, 2011 The main result of this work is a parametric description of the spectral surfaces of a class of periodic 5-diagonal matrices, related to the strong moment problem. This class is a self-adjoint twin of the class of CMV matrices.
Moale, Ionela, Yuditskii, Peter
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