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Limitantes para os zeros de polinômios gerados por uma relação de recorrência de três termos
(Universidade Estadual Paulista (Unesp), 2009-02-27)
Este trabalho trata do estudo da localização dos zeros dos polinômios gerados por uma determinada relação de recorrência de três termos. O objetivo principal é estudar limitantes, em termos dos coeficientes da relação de ...
Limitantes para os zeros de polinômios gerados por uma relação de recorrência de três termos
(Universidade Estadual Paulista (UNESP), 2014)
Spherical functions of fundamental K-types associated with the n-dimensional sphere
(2014)
In this paper, we describe the irreducible spherical functions of fundamental K-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that ...
Spherical Functions of Fundamental K-Types Associated with the n-Dimensional Sphere
(Natl Acad Sci Ukraine, 2014-01)
In this paper, we describe the irreducible spherical functions of fundamentalK-types associated with the pair (G, K) = (SO(n + 1), SO(n)) in terms of matrix hypergeometric functions. The output of this description is that ...
Reducibility of matrix weights
(Springer, 2018-02)
In this paper, we discuss the notion of reducibility of matrix weights and introduce a real vector space CR which encodes all information about the reducibility of W. In particular, a weight W reduces if and only if there ...
Bispectrality and Time-Band-Limiting: Matrix valued polynomials
(Oxford University Press, 2018-05)
The subject of time-band-limiting, originating in signal processing, is dominated by the miracle that a naturallyappearing integral operator admits a commuting dierential one, allowing for a numerically ecient way to compute ...
Bispectrality and time-band limiting: Matrix-valued polynomials
(Oxford University Press, 2018-06)
The subject of time-band limiting, originating in signal processing, is dominated by the miracle that a naturally appearing integral operator admits a commuting differential one allowing for a numerically efficient way to ...
Propiedades de algunos sistemas de polinomios ortogonales Sobolev en varias variables
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2022-02-01)
En este trabajo estudiamos algunas propiedades algebraicas y analíticas de los polinomios ortogonales en varias variables reales con respecto a un producto interno Sobolev continuo-discreto. Consideramos los polinomios ...
Time and band limiting for matrix valued functions, an example
(Natl Acad Sci Ukraine, 2015-06)
The main purpose of this paper is to extend to a situation involving matrix valued orthogonal polynomials and spherical functions, a result that traces its origin and its importance to work of Claude Shannon in laying the ...
Blumenthal's theorem for Laurent orthogonal polynomials
(Elsevier B.V., 2002-08-01)
We investigate polynomials satisfying a three-term recurrence relation of the form B-n(x) = (x - beta(n))beta(n-1)(x) - alpha(n)xB(n-2)(x), with positive recurrence coefficients alpha(n+1),beta(n) (n = 1, 2,...). We show ...