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Fast Analytic Sampling Approximation from Cauchy Kernel.
- Source :
-
Journal of Function Spaces . 3/15/2016, p1-7. 7p. - Publication Year :
- 2016
-
Abstract
- The paper aims at establishing a fast numerical algorithm for Bk(f), where f is any function in the Hardy space H2(Td) and k is the scale level. Here, Bk(f) is an approximation to f we recently constructed by applying the multiscale transform to the Cauchy kernel. We establish the matrix expression of Bk(f) and find that it has the structure of a multilevel Hankel matrix. Based on the structure, a fast numerical algorithm is established to compute Bk(f). The computational complexity is given. A numerical experiment is carried out to check the efficiency of our algorithm. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 23148896
- Database :
- Academic Search Index
- Journal :
- Journal of Function Spaces
- Publication Type :
- Academic Journal
- Accession number :
- 113767721
- Full Text :
- https://doi.org/10.1155/2016/5780718