A Method for the Construction of Wavelet Analogs by Means of Trigonometric <Emphasis Type="Italic">B</Emphasis>-Splines |
| |
| Authors: | V T Shevaldin |
| |
| Institution: | 1.Krasovskii Institute of Mathematics and Mechanics,Ural Branch of the Russian Academy of Sciences,Yekaterinburg,Russia |
| |
| Abstract: | We construct an analog of two-scale relations for basis trigonometric splines with uniform knots corresponding to a linear differential operator of order 2r + 1 with constant coefficients L2r+1(D) = D(D2 + α12 )(D2 + α22 )... (D2 + α r 2 ), where α1, α2,..., α r are arbitrary positive numbers. The properties of nested subspaces of trigonometric splines are analyzed. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
