scholarly journals Orthogonal Laurent polynomials on the unit circle, extended CMV ordering and 2D Toda type integrable hierarchies

2013 ◽  
Vol 240 ◽  
pp. 132-193 ◽  
Author(s):  
Carlos Álvarez-Fernández ◽  
Manuel Mañas
Keyword(s):  
Unit Circle ◽  
Integrable Hierarchies ◽  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials

scholarly journals Sequences of orthogonal Laurent polynomials, bi-orthogonality and quadrature formulas on the unit circle

2007 ◽  
Vol 206 (2) ◽  
pp. 950-966 ◽  
Author(s):  
Ruymán Cruz-Barroso ◽  
Leyla Daruis ◽  
Pablo González-Vera ◽  
Olav NjÅstad
Keyword(s):  
Unit Circle ◽  
Quadrature Formulas ◽  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials

scholarly journals Orthogonal Polynomials On Ellipses And Their Recurrence Relations

2014 ◽  
Vol 47 (1) ◽  
Author(s):  
Vasile Lauric
Keyword(s):  
Orthogonal Polynomials ◽  
Unit Circle ◽  
Recurrence Relations ◽  
Matrix Representation ◽  
Coordinate Function ◽  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials ◽  
The Matrix

AbstractIn this note we study the connection between orthogonal polynomials on an ellipse and orthogonal Laurent polynomials on the unit circle relative to some multiplicative measures and then establish the recurrence relations for orthogonal polynomials on an ellipse. The matrix representation of the operator of multiplication by coordinate function is obtained

scholarly journals Orthogonal Laurent polynomials

1986 ◽  
Vol 89 (1) ◽  
pp. 17-36 ◽  
Author(s):  
E. Hendriksen ◽  
H. van Rossum
Keyword(s):  
Laurent Polynomials ◽  
Orthogonal Laurent Polynomials
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