A new technique to estimate the regularity of refinable functions.

Cohen, Albert, and Daubechies, Ingrid. "A new technique to estimate the regularity of refinable functions.." Revista Matemática Iberoamericana 12.2 (1996): 527-591. <http://eudml.org/doc/39499>.

@article{Cohen1996,
abstract = {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.},
author = {Cohen, Albert, Daubechies, Ingrid},
journal = {Revista Matemática Iberoamericana},
keywords = {Ondículas; Ajuste de curvas; Ajuste de superficies; Funciones junquillo; Funciones de escala; Espacios de Hilbert; Operadores de Fredholm; refinable functions; spectral properties of transfer operator; Fredholm determinant theory; Sobolev exponent; Hölder exponent},
language = {eng},
number = {2},
pages = {527-591},
title = {A new technique to estimate the regularity of refinable functions.},
url = {http://eudml.org/doc/39499},
volume = {12},
year = {1996},
}

TY - JOUR
AU - Cohen, Albert
AU - Daubechies, Ingrid
TI - A new technique to estimate the regularity of refinable functions.
JO - Revista Matemática Iberoamericana
PY - 1996
VL - 12
IS - 2
SP - 527
EP - 591
AB - 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.
LA - eng
KW - Ondículas; Ajuste de curvas; Ajuste de superficies; Funciones junquillo; Funciones de escala; Espacios de Hilbert; Operadores de Fredholm; refinable functions; spectral properties of transfer operator; Fredholm determinant theory; Sobolev exponent; Hölder exponent
UR - http://eudml.org/doc/39499
ER -