Lp norm convergence of rational orthonormal basis function expansions

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper model sets for discrete-time LTI systems that are spanned by generalized orthonormal basis functions are investigated. It is established that the partial sums of Fourier series of generalized orthonormal basis expansions converge in all the spaces Lp, and Hp, 1 <p <∞. It is introduced a rational interpolation operator on nodes given on the unit circle. By using a generalization of the Marcinkiewicz classical Lp norm convergence theorems for triginometric interpolation Lp norm convergence is proved for the discrete rational operators, too.

Original languageEnglish
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages3218-3223
Number of pages6
Volume4
Publication statusPublished - 1999
EventThe 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA
Duration: Dec 7 1999Dec 10 1999

Other

OtherThe 38th IEEE Conference on Decision and Control (CDC)
CityPhoenix, AZ, USA
Period12/7/9912/10/99

Fingerprint

Interpolation
Fourier series
Mathematical operators

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Szabó, Z., & Bokor, J. (1999). Lp norm convergence of rational orthonormal basis function expansions. In Proceedings of the IEEE Conference on Decision and Control (Vol. 4, pp. 3218-3223). IEEE.

Lp norm convergence of rational orthonormal basis function expansions. / Szabó, Z.; Bokor, J.

Proceedings of the IEEE Conference on Decision and Control. Vol. 4 IEEE, 1999. p. 3218-3223.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Szabó, Z & Bokor, J 1999, Lp norm convergence of rational orthonormal basis function expansions. in Proceedings of the IEEE Conference on Decision and Control. vol. 4, IEEE, pp. 3218-3223, The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, 12/7/99.
Szabó Z, Bokor J. Lp norm convergence of rational orthonormal basis function expansions. In Proceedings of the IEEE Conference on Decision and Control. Vol. 4. IEEE. 1999. p. 3218-3223
Szabó, Z. ; Bokor, J. / Lp norm convergence of rational orthonormal basis function expansions. Proceedings of the IEEE Conference on Decision and Control. Vol. 4 IEEE, 1999. pp. 3218-3223
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