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math.FA2017★ 1 cited
A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks
F. Alberto Grünbaum, Luis Velázquez
Recent work on recurrence in quantum walks has provided a representation of Schur functions in terms of unitary operators. We propose a generalization of Schur functions by extendi…
math.FA2014
Self-adjointness of unbounded tridiagonal operators and spectra of their finite truncations
Eugenia N. Petropoulou, L. Velázquez
This paper addresses two different but related questions regarding an unbounded symmetric tridiagonal operator: its self-adjointness and the approximation of its spectrum by the ei…