Advanced topology on the multiscale sequence spaces \(S^\nu \)

DOI10.1016/j.jmaa.2007.11.052zbMath1176.46007arXiv0707.2952OpenAlexW2079312532MaRDI QIDQ2518741

Jean-Marie Aubry, Françoise Bastin

Publication date: 16 January 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.2952

zbMATH Keywords

sequence spaceFréchet spacelocal convexitystrong topological dual

Mathematics Subject Classification ID

Nontrigonometric harmonic analysis involving wavelets and other special systems (42C40) Sequence spaces (including Köthe sequence spaces) (46A45) Locally convex Fréchet spaces and (DF)-spaces (46A04)

Related Items (2)

Spaces \(S^{\nu}\), diametral dimension and property \((\overline{\operatorname{\Omega}})\) ⋮ Topology on new sequence spaces defined with wavelet leaders

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Beyond Besov spaces. I: Distributions of wavelet coefficients
• Random wavelet series
• Prevalence of multifractal functions in \(S^v\) spaces
• Topological properties of the sequence spaces \(S^{\nu }\)
• Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces
• Multifractal Formalism for Functions Part I: Results Valid For All Functions

This page was built for publication: Advanced topology on the multiscale sequence spaces \(S^\nu \)