Connectivity and density in the set of framelets

• Autores: Marcin Bownik
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 14, Nº 2, 2007, págs. 285-293
• Idioma: inglés
• DOI: 10.4310/mrl.2007.v14.n2.a10
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• Resumen

  • We show that the set of all framelets is pathwise connected and dense both in $L^2(\br, dx)$ and $L^2(\br, d\xi/|\xi|)$ norms. This answers an open problem posed by Larson \cite{La1, La2}.