Adaptive Decomposition by Weighted Inner Functions: A Generalization of Fourier Series |
| |
| Authors: | Tao Qian Li-Hui Tan Yan-Bo Wang |
| |
| Affiliation: | 1. Department of Mathematics, Faculty of Science and Technology, University of Macau, Taipa, Macao, China
2. School of Applied Mathematics, Guangdong University of Technology, 510090, Guangzhou, P.R. China
|
| |
| Abstract: | In recent study adaptive decomposition of functions into basic functions of analytic instantaneous frequencies has been sought. Fourier series is a particular case of such decomposition. Adaptivity addresses certain optimal property of the decomposition. The present paper presents a fast decomposition of functions in the $mathcal {L}^{2}(partial {mathbb{D}})$ spaces into a series of inner and weighted inner functions of increasing frequencies. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
