Results 11 to 20 of about 151 (24)
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
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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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Spectral reciprocity and matrix representations of unbounded operators [PDF]
, 2011 Motivated by potential theory on discrete spaces, we study a family of unbounded Hermitian operators in Hilbert space which generalize the usual graph-theoretic discrete Laplacian.
Jorgensen, Palle E. T. +1 more
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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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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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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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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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, 2009 This paper is devoted to estimates of the exponential decay of eigenfunctions of difference operators on the lattice Z^n which are discrete analogs of the Schr\"{o}dinger, Dirac and square-root Klein-Gordon operators.
Agmon S +37 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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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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