RT Journal Article
T1 Christoffel transformation for a matrix of Bi-variate measures.
A1 García Ardila, Juan
A1 Mañas Baena, Manuel Enrique
A1 Marcellan, Francisco
AB We consider the sequences of matrix bi-orthogonal polynomials with respect to the bilinear forms <center dot, center dot >((R) over cap) and <center dot, center dot >((L) over cap) < P(z(1)), Q(z(2))((R) over cap) = (TxT)integral P(z(1))dagger L(z(1))d mu(z(1), z(2)) Q(z(2)), P, Q is an element of L-pxp[z] < P(z(1)), Q(z(2))>(L) over cap = (TxT)integral P(z(1))L(z(1))d mu(z(1), z(2))Q(z(2)), where mu(z1, z2) is a matrix of bi-variate measures supported on T x T, with T the unit circle, L pxp[ z] is the set of matrix Laurent polynomials of size p x p and L(z) is a special polynomial in L pxp[ z]. A connection formula between the sequences of matrix Laurent bi-orthogonal polynomials with respect to <center dot, center dot >((R) over cap) and resp <center dot, center dot >((L) over cap) and the sequence of matrix Laurent bi-orthogonal polynomials with respect to d mu(z(1), z(2)) is given.
PB Springer basel  AG
SN 1661-8254
YR 2019
FD 2019-11
LK https://hdl.handle.net/20.500.14352/6015
UL https://hdl.handle.net/20.500.14352/6015
LA eng
NO © 2019 Springer basel  AG.The authors thank the referees by the careful revision of the manuscript. Their suggestions and remarks have contributed to improve its presentation. The work of Juan C. Garcia-Ardila and Francisco Marcellan has been supported by Direccion General de Investigacion Cientifica y Tecnica, Ministerio de Economia, Industria y Competitividad of Spain, Grant [MTM2015-65888-C4-2-P]. The work of Manuel Manas has been supported by Direccion General de Investigacion Cientifica y Tecnica, Ministerio de Economia, Industria y Competitividad of Spain, Grant [MTM2015-65888-C4-3-P].
NO Ministerio de Economia, Industria y Competitividad (MINECO)
DS Docta Complutense
RD 8 abr 2025