Article

Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text
Advertising


Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0


Comptes Rendus Mathématique
Volume 334, n° 4
pages 279-282 (2002)
Doi : S1631-073X(02)02205-7
Received : 5 November 2001 ;  accepted : 13 November 2001
On the “prediction” problem
Sur le problème de prédiction
 

Alexander Olevskii 1
School of Mathematical Sciences, Tel Aviv University, Ramat Aviv 69978, Israel 

Note presented by Jean-Pierre Kahane

Abstract

We prove that almost every (in the Baire category sense) weight w on a circle T satisfies the following property: any function from L2(w,T) can be decomposed as a series ∑nZ+c(n)eint which converges in the norm.

We discuss this result in the context of the classical Szegö-Kolmogorov “prediction” theorem. To cite this article: A. Olveskii, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 279-282.

The full text of this article is available in PDF format.
Résumé

Au sens des catégories de Baire, presque tout poids w vérifie la propriété suivante : toute fonction appartenant à L2(w,T) est décomposable en série ∑nZ+c(n)eint convergente en norme. Nous discutons la relation de ce résultat avec le théorème de « prédiction » classique de Szegö-Kolmogorov. Pour citer cet article : A. Olveskii, C. R. Acad. Sci. Paris, Ser. I 334 (2002) 279-282.

The full text of this article is available in PDF format.
1  Research supported in part by the Israel Science Foundation.


© 2002  Académie des sciences/Éditions scientifiques et médicales Elsevier SAS. All Rights Reserved.
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Close
Article Outline
You can move this window by clicking on the headline
@@#110903@@