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SZEGO and PARA-ORTHOGONAL POLYNOMIALS on THE REAL LINE: ZEROS and CANONICAL SPECTRAL TRANSFORMATIONS
(Amer Mathematical Soc, 2012-10-01)
We study polynomials which satisfy the same recurrence relation as the Szego polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal ...
SZEGO and PARA-ORTHOGONAL POLYNOMIALS on THE REAL LINE: ZEROS and CANONICAL SPECTRAL TRANSFORMATIONS
(Amer Mathematical Soc, 2012-10-01)
We study polynomials which satisfy the same recurrence relation as the Szego polynomials, however, with the restriction that the (reflection) coefficients in the recurrence are larger than one in modulus. Para-orthogonal ...
Szego polynomials and the truncated trigonometric moment problem
(Springer, 2006-12-01)
We show how Szego polynomials can be used in the theory of truncated trigonometric moment problem.
Szego polynomials and the truncated trigonometric moment problem
(Springer, 2006-12-01)
We show how Szego polynomials can be used in the theory of truncated trigonometric moment problem.
Another connection between orthogonal polynomials and L-orthogonal polynomials
(Elsevier B.V., 2007-06-01)
We consider a connection that exists between orthogonal polynomials associated with positive measures on the real line and orthogonal Laurent polynomials associated with strong measures of the class S-3 [0, beta, b]. ...
Another connection between orthogonal polynomials and L-orthogonal polynomials
(Elsevier B.V., 2007-06-01)
We consider a connection that exists between orthogonal polynomials associated with positive measures on the real line and orthogonal Laurent polynomials associated with strong measures of the class S-3 [0, beta, b]. ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...
Szego type polynomials and para-orthogonal polynomials
(Academic Press Inc. Elsevier B.V., 2010-10-01)
Szego type polynomials with respect to a linear functional M for which the moments M[t(n)] = mu(-n) are all complex, mu(-n) = mu(n) and D(n) not equal 0 for n >= 0. are considered. Here, D(n) are the associated Toeplitz ...
Szego polynomials: some relations to L-orthogonal and orthogonal polynomials
(Elsevier B.V., 2003-04-01)
We consider the real Szego polynomials and obtain some relations to certain self inversive orthogonal L-polynomials defined on the unit circle and corresponding symmetric orthogonal polynomials on real intervals. We also ...
Szego polynomials: some relations to L-orthogonal and orthogonal polynomials
(Elsevier B.V., 2003-04-01)
We consider the real Szego polynomials and obtain some relations to certain self inversive orthogonal L-polynomials defined on the unit circle and corresponding symmetric orthogonal polynomials on real intervals. We also ...