A new technique to estimate the regularity of refinable functions
Publication
, Journal Article
Cohen, A; Daubechies, I
Published in: Revista Matematica Iberoamericana
January 1, 1996
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.
Duke Scholars
Published In
Revista Matematica Iberoamericana
DOI
EISSN
2235-0616
ISSN
0213-2230
Publication Date
January 1, 1996
Volume
12
Issue
2
Start / End Page
527 / 591
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Cohen, A., & Daubechies, I. (1996). A new technique to estimate the regularity of refinable functions. Revista Matematica Iberoamericana, 12(2), 527–591. https://doi.org/10.4171/RMI/207
Cohen, A., and I. Daubechies. “A new technique to estimate the regularity of refinable functions.” Revista Matematica Iberoamericana 12, no. 2 (January 1, 1996): 527–91. https://doi.org/10.4171/RMI/207.
Cohen A, Daubechies I. A new technique to estimate the regularity of refinable functions. Revista Matematica Iberoamericana. 1996 Jan 1;12(2):527–91.
Cohen, A., and I. Daubechies. “A new technique to estimate the regularity of refinable functions.” Revista Matematica Iberoamericana, vol. 12, no. 2, Jan. 1996, pp. 527–91. Scopus, doi:10.4171/RMI/207.
Cohen A, Daubechies I. A new technique to estimate the regularity of refinable functions. Revista Matematica Iberoamericana. 1996 Jan 1;12(2):527–591.
Published In
Revista Matematica Iberoamericana
DOI
EISSN
2235-0616
ISSN
0213-2230
Publication Date
January 1, 1996
Volume
12
Issue
2
Start / End Page
527 / 591
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics