Topology on new sequence spaces defined with wavelet leaders

Bastin, Françoise; Esser, Céline; Simons, Laurent

doi:10.1016/j.jmaa.2015.04.074

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Topology on new sequence spaces defined with wavelet leaders

Bastin, Françoise; Esser, Céline; Simons, Laurent

2015 • In Journal of Mathematical Analysis and Applications, 431 (1), p. 317-341

Peer Reviewed verified by ORBi

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https://hdl.handle.net/2268/177474

DOI
10.1016/j.jmaa.2015.04.074

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Keywords :

sequence spaces; topology on vector spaces; wavelet leaders

Abstract :

[en] Using wavelet leaders instead of wavelet coefficients, new sequence spaces of type Sν are defined and endowed with a natural topology. Some classical topological properties are then studied; in particular, a generic result about the asymptotic repartition of the wavelet leaders of a sequence in Lν is obtained. Eventually, comparisons and links with Oscillation spaces are also presented as well as with Sν spaces.

Disciplines :

Mathematics

Author, co-author :

Bastin, Françoise ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Esser, Céline ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Simons, Laurent ; Université de Liège - ULiège > Département de mathématique > Analyse - Analyse fonctionnelle - Ondelettes

Language :

English

Title :

Topology on new sequence spaces defined with wavelet leaders

Publication date :

2015

Journal title :

Journal of Mathematical Analysis and Applications

ISSN :

0022-247X

eISSN :

1096-0813

Publisher :

Elsevier, Atlanta, United States - California

Volume :

431

Issue :

Pages :

317-341

Peer reviewed :

Peer Reviewed verified by ORBi

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique [BE]

Available on ORBi :

since 27 January 2015

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