Continuity of the outer factorization and mapping properties with applications

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 548-553

  Boche, Holger ^a   Pohl, Volker ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TRANSFORMATIONS; POLYNOMIALS; SPECTRUM ANALYSIS; WAVE FILTERS;

CAUCHY TRANSFORM; HILBERT TRANSFORM; WIENER FILTERS;

INTEGRAL EQUATIONS;

EID: 33748542723     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582213     Document Type: Conference Paper

References (12)

1. N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series with Engineering Applications. The MIT Press and John Wiley & Sons, Inc., 1949.
2. L. Franks, Signal Theory. Englewood Cliffs, New York: Prentice-Hall, Inc., 1969.
3. M. H. Hayes, Statistical Digital Signal Processing and Modeling. New York, etc.: John Wiley & Sons, Inc., 1996.
4. H. Boche, "Verhalten der Cauchy-Transfortnation und der Hilbert-Transformation für auf dem Einheitskreis stetige Funktionen," Arch. Math., vol. 75, pp. 349-357, 2000.
5. S. Treil, "A Counterexample on Continuous Coprime Factors," IEEE Trans. Automat. Contr., vol. 39, no. 6, pp. 1262-1263, June 1994.
6. H. Boche and V. Pohl, "Spectral Factorization in the Disk Algebra," Complex Var. Theory Appl., vol. 50, no. 6, pp. 383-387, May 2005.
7. B. Anderson, "Continuity of the Spectral Factorization Operation," Mat. Applic. Comp., vol. 4, no. 2, pp. 139-156, 1985.
8. L. Y. Wang, "Lipschitz Continuity of Inner-Outer Factorization," in Proc. 29th IEEE Conf. on Decision and Control (CDC), Honolulu, Hawaii, Dec. 1990.
9. B. Jacob and J. R. Partington, "On the boundedness and continuity of the spectral factorization mapping," SIAM J. Control Optim., vol. 40, no. 1, pp. 88-106, 2001.
10. S. Barclay, "Continuity of the Spectral Factorization Mapping," J. London Math. Soc. (2), vol. 70, pp. 763-779, 2004.
11. K. M. Dyakonov, "Equivalent norms on Lipschitz-type spaces of holomorphic functions," Acta Math., vol. 178, pp. 143-167, 1997.
12. H. Boche and V. Pohl, "Characterization of holomorphic functions in terms of their moduli," Complex Var. Theory Appl., vol. 50, p. to be published, 2005.