Analyses multi-résolutions non orthogonales, commutation entre projecteurs et derivation et ondelettes vecteurs à divergence nulle

• Autores: Pierre Gilles Lemarié-Rieusset
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 8, Nº 2, 1992, págs. 221-238
• Idioma: francés
• DOI: 10.4171/rmi/123
• Títulos paralelos:
  • Non-orthogonal multi-resolution analysis, commutation between projectors and differentiation, and divergence-free vector wavelets.
  • Análisis no ortogonales para resolución múltiple, conmutación entre proyectores y derivación, y ondículas de vectores de divergencia nula.
• Enlaces
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• Resumen

  • The notion of non-orthogonal multi-resolution analysis and its compatibility with differentiation (as expressed by the commutation formula) lead us to the construction of a multi-resolution analysis of L2(Rn)n which is well adapted to the approximation of divergence-free vector functions. Thus, we obtain unconditional bases of compactly supported divergence-free vector wavelets.