TY - GEN
T1 - Continuity of the outer factorization and mapping properties with applications
AU - Boche, Holger
AU - Pohl, Volker
PY - 2005
Y1 - 2005
N2 - This paper investigates the smoothness behavior of the Poisson- and the conjugate Poisson integral on the closure of the unit disk. It gives sufficient and necessary conditions on the majorants of the data such that these integrals as well as the Hilbert- and Cauchy transform have always the same modulus of continuity as the data, provided that the data have no zeros on the unit circle. The results are applied to study the smoothness properties of the spectral factorization and Wiener filter.
AB - This paper investigates the smoothness behavior of the Poisson- and the conjugate Poisson integral on the closure of the unit disk. It gives sufficient and necessary conditions on the majorants of the data such that these integrals as well as the Hilbert- and Cauchy transform have always the same modulus of continuity as the data, provided that the data have no zeros on the unit circle. The results are applied to study the smoothness properties of the spectral factorization and Wiener filter.
UR - http://www.scopus.com/inward/record.url?scp=33748542723&partnerID=8YFLogxK
U2 - 10.1109/CDC.2005.1582213
DO - 10.1109/CDC.2005.1582213
M3 - Conference contribution
AN - SCOPUS:33748542723
SN - 0780395689
SN - 9780780395688
T3 - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
SP - 548
EP - 553
BT - Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
T2 - 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Y2 - 12 December 2005 through 15 December 2005
ER -