Regularity of Refinable Function Vectors
Publication
, Journal Article
Cohen, A; Daubechies, I; Plonka, G
Published in: Journal of Fourier Analysis and Applications
January 1, 1997
We study the existence and regularity of compactly supported solutions φ = (φν)ν=0r- 1 of vector refinement equations. The space spanned by the translates of φν can only provide approximation order if the refinement mask P has certain particular factorization properties. We show, how the factorization of P can lead to decay of |φ̂ν(u)| as |u| →∞. The results on decay are used to prove uniqueness of solutions and convergence of the cascade algorithm.
Duke Scholars
Published In
Journal of Fourier Analysis and Applications
DOI
ISSN
1069-5869
Publication Date
January 1, 1997
Volume
3
Issue
3
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Cohen, A., Daubechies, I., & Plonka, G. (1997). Regularity of Refinable Function Vectors. Journal of Fourier Analysis and Applications, 3(3). https://doi.org/10.1007/bf02649113
Cohen, A., I. Daubechies, and G. Plonka. “Regularity of Refinable Function Vectors.” Journal of Fourier Analysis and Applications 3, no. 3 (January 1, 1997). https://doi.org/10.1007/bf02649113.
Cohen A, Daubechies I, Plonka G. Regularity of Refinable Function Vectors. Journal of Fourier Analysis and Applications. 1997 Jan 1;3(3).
Cohen, A., et al. “Regularity of Refinable Function Vectors.” Journal of Fourier Analysis and Applications, vol. 3, no. 3, Jan. 1997. Scopus, doi:10.1007/bf02649113.
Cohen A, Daubechies I, Plonka G. Regularity of Refinable Function Vectors. Journal of Fourier Analysis and Applications. 1997 Jan 1;3(3).
Published In
Journal of Fourier Analysis and Applications
DOI
ISSN
1069-5869
Publication Date
January 1, 1997
Volume
3
Issue
3
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 4901 Applied mathematics
- 0102 Applied Mathematics
- 0101 Pure Mathematics