CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Polinomios matriciales ortogonales y operadores diferenciales
Autor/es:
F.A. GRUNBAUM Y J. TIRAO
Lugar:
Universidad Nacional del Sur, Bahía Blanca
Reunión:
Congreso; Reunión Anual de la Unión Matemática Argentina; 2006
Institución organizadora:
Unión Matemática Argentina
Resumen:
Given a weight matrix W(x) of size N on the real line oneconstructs a sequence of matrix valued orthogonal polynomials, {P_n}. We study the algebra D(W) of differential operators D with matrix coefficients such that P_n D=Lambda_n P_n, with Lambda_n in the algebra A of N x Ncomplex matrices. We study certain representations of this algebra,prove that it is a *-algebra and give a precise description of itsisomorphic image inside the algebra A^{N_0}.
