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A characterization of multidimensional multi-knot piecewise linear spectral sequence and its applications |
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| Authors: | Xiao Na Cui Xu Liu Rui Wang Dun Yan Yan |
| Institution: | 1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, P. R. China 2. School of Applied Mathematics, Jilin University of Finance and Economics, Changchun, 130117, P. R. China 3. School of Mathematics, Jilin University, Changchun, 130012, P. R. China 4. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100190, P. R. China |
| Abstract: | We characterize a class of piecewise linear spectral sequences. Associated with the spectral sequence, we construct an orthonormal exponential bases for L 2(0, 1) d ), which are called generalized Fourier bases. Moreover, we investigate the convergence of Bochner-Riesz means of the generalized Fourier series. |
| Keywords: | Spectral sequences orthonormal exponential bases convergence analysis Bochner-Riesz means |
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