A new technique to estimate the regularity of refinable functions

• Autores: Albert Cohen , Ingrid Daubechies
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 12, Nº 2, 1996, págs. 527-591
• Idioma: inglés
• DOI: 10.4171/rmi/207
• Títulos paralelos:
  • Una nueva técnica para estimar la regularidad de funciones ajustables
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• Resumen

  • We study the regularity of refinable functions by analyzing the spectral properties of special operators associated to the refinement equation; in particular, we use the Fredholm determinant theory to derive numerical estimates for the spectral radius of these operators in certain spaces. This new technique is particularly useful for estimating the regularity in the cases where the refinement equation has an infinite number of nonzero coefficients and in the multidimensional cases.