Zobrazeno 1 - 10
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pro vyhledávání: '"Moral, L"'
M. Derevyagin, L. Vinet and A. Zhedanov introduced in Constr. Approx. 36 (2012) 513-535 a new connection between orthogonal polynomials on the unit circle and the real line. It maps any real CMV matrix into a Jacobi one depending on a real parameter
Externí odkaz:
http://arxiv.org/abs/2005.09772
Publikováno v:
In Journal of Approximation Theory June 2021 266
Publikováno v:
Advances in Mathematics 298 (2016) 122-206
We develop a theory of Darboux transformations for CMV matrices, canonical representations of the unitary operators. In perfect analogy with their self-adjoint version -- the Darboux transformations of Jacobi matrices -- they are equivalent to Lauren
Externí odkaz:
http://arxiv.org/abs/1503.05003
Publikováno v:
Constructive Approximation. Feb2023, Vol. 57 Issue 1, p75-124. 50p.
In this paper we present some recent results concerning linear spectral transformations of Carath\'eodory functions. More precisely, given two Carath\'eodory functions related by a linear spectral transformation, we study the relation between the cor
Externí odkaz:
http://arxiv.org/abs/1302.2007
Autor:
Moral, L., Vizmanos, G., Torres-Borrego, J., Praena-Crespo, M., Tortajada-Girbés, M., Pellegrini, F.J., Asensio, Ó.
Publikováno v:
In Allergologia et Immunopathologia March-April 2019 47(2):107-121
The CGMV method allows for the general discussion of localization properties for the states of a one-dimensional quantum walk, both in the case of the integers and in the case of the non negative integers. Using this method we classify, according to
Externí odkaz:
http://arxiv.org/abs/1010.5762
A special class of orthogonal rational functions (ORFs) is presented in this paper. Starting with a sequence of ORFs and the corresponding rational functions of the second kind, we define a new sequence as a linear combination of the previous ones, t
Externí odkaz:
http://arxiv.org/abs/0911.1657
This paper is devoted to the study of general (Laurent) polynomial modifications of moment functionals on the unit circle, i.e., associated with hermitian Toeplitz matrices. We present a new approach which allows us to study polynomial modifications
Externí odkaz:
http://arxiv.org/abs/0908.2552
We consider quantum random walks (QRW) on the integers, a subject that has been considered in the last few years in the framework of quantum computation. We show how the theory of CMV matrices gives a natural tool to study these processes and to give
Externí odkaz:
http://arxiv.org/abs/0901.2244