Results 11 to 20 of about 157 (41)
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
core +2 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
core +1 more source
A generalization of starlike functions of order alpha [PDF]
, 2015 For every $q\in(0,1)$ and $0\le ...
Agrawal, Sarita, Sahoo, Swadesh K.
core
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
core +1 more source
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
core
A Nonperturbative Eliasson's Reducibility Theorem
, 2005 This paper is concerned with discrete, one-dimensional Schr\"odinger operators with real analytic potentials and one Diophantine frequency. Using localization and duality we show that almost every point in the spectrum admits a quasi-periodic Bloch wave ...
Aizenman M +45 more
core +2 more sources
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
core +1 more source
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
core
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
core +1 more source
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
core +1 more source