Continuity of the outer factorization and mapping properties with applications

Holger Boche; Volker Pohl

doi:10.1109/CDC.2005.1582213

Continuity of the outer factorization and mapping properties with applications

Holger Boche, Volker Pohl

Technische Universität Berlin

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

11 Scopus citations

Abstract

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.

Original language	English
Title of host publication	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Pages	548-553
Number of pages	6
DOIs	https://doi.org/10.1109/CDC.2005.1582213
State	Published - 2005
Externally published	Yes
Event	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 - Seville, Spain Duration: 12 Dec 2005 → 15 Dec 2005

Publication series

Name	Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Volume	2005

Conference

Conference	44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05
Country/Territory	Spain
City	Seville
Period	12/12/05 → 15/12/05

Access to Document

10.1109/CDC.2005.1582213

Cite this

Boche, H., & Pohl, V. (2005). Continuity of the outer factorization and mapping properties with applications. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 (pp. 548-553). Article 1582213 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005). https://doi.org/10.1109/CDC.2005.1582213

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title = "Continuity of the outer factorization and mapping properties with applications",

abstract = "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.",

author = "Holger Boche and Volker Pohl",

year = "2005",

doi = "10.1109/CDC.2005.1582213",

language = "English",

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

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

note = "44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05 ; Conference date: 12-12-2005 Through 15-12-2005",

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Boche, H & Pohl, V 2005, Continuity of the outer factorization and mapping properties with applications. in Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05., 1582213, Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, vol. 2005, pp. 548-553, 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05, Seville, Spain, 12/12/05. https://doi.org/10.1109/CDC.2005.1582213

Continuity of the outer factorization and mapping properties with applications. / Boche, Holger; Pohl, Volker.
Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 548-553 1582213 (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05; Vol. 2005).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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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.

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Boche H, Pohl V. Continuity of the outer factorization and mapping properties with applications. In Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05. 2005. p. 548-553. 1582213. (Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05). doi: 10.1109/CDC.2005.1582213

Continuity of the outer factorization and mapping properties with applications

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