Fast Analytic Sampling Approximation from Cauchy Kernel
Joint Authors
Li, Youfa
Shang, Jing
Yang, Honglei
Zhang, Gengrong
Yang, S. Z.
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-03-15
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The paper aims at establishing a fast numerical algorithm for B k ( f ) , where f is any function in the Hardy space H 2 ( T d ) and k is the scale level.
Here, B k ( f ) is an approximation to f we recently constructed by applying the multiscale transform to the Cauchy kernel.
We establish the matrix expression of B k ( 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 B k ( f ) .
The computational complexity is given.
A numerical experiment is carried out to check the efficiency of our algorithm.
American Psychological Association (APA)
Li, Youfa& Shang, Jing& Yang, Honglei& Zhang, Gengrong& Yang, S. Z.. 2016. Fast Analytic Sampling Approximation from Cauchy Kernel. Journal of Function Spaces،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108622
Modern Language Association (MLA)
Li, Youfa…[et al.]. Fast Analytic Sampling Approximation from Cauchy Kernel. Journal of Function Spaces No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1108622
American Medical Association (AMA)
Li, Youfa& Shang, Jing& Yang, Honglei& Zhang, Gengrong& Yang, S. Z.. Fast Analytic Sampling Approximation from Cauchy Kernel. Journal of Function Spaces. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1108622
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108622
