Generalized bounded variation and inserting point masses

DOI10.1007/s00365-008-9024-0zbMath1283.42041arXiv0707.1368OpenAlexW2085833636MaRDI QIDQ836083

Manwah Lilian Wong

Publication date: 31 August 2009

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1368

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Approximation in the complex plane (30E10)

Related Items (14)

Dirac operators with operator data of Wigner-von Neumann type ⋮ Schrödinger operators with slowly decaying Wigner-von Neumann type potentials ⋮ Orthogonal polynomials with recursion coefficients of generalized bounded variation ⋮ A class of Schrödinger operators with decaying oscillatory potentials ⋮ On the existence of embedded eigenvalues ⋮ A new linear spectral transformation associated with derivatives of Dirac linear functionals ⋮ Asymptotics of orthogonal polynomials and point perturbation on the unit circle ⋮ On Some Recent Results on Asymptotic Behavior of Orthogonal Polynomials on the Unit Circle and Inserting Point Masses ⋮ Generalized Prüfer variables for perturbations of Jacobi and CMV matrices ⋮ OPUC, CMV matrices and perturbations of measures supported on the unit circle ⋮ A formula for inserting point masses ⋮ Linear spectral transformation and Laurent polynomials ⋮ Point mass insertion on the real line and non-exponential perturbation of the recursion coefficients ⋮ Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle

Cites Work

• On the assignment of a Dirac-mass for a regular and semi-classical form
• Modified Prüfer and EFGP transforms and the spectral analysis of one-dimensional Schrödinger operators
• Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators
• Modifications of Toeplitz matrices: Jump functions
• Orthogonal Polynomials, Measures and Recurrences on the Unit Circle
• Orthogonal polynomials
• OPUC on one foot
• Equivalent Potentials
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