Self-similarity. I: Splines and operators. (English) Zbl 1388.41005
Editorial remark: No review copy delivered. For Part II, see [the authors, ibid. 55, No. 4, 1364–1378 (2007; Zbl 1390.41010)].
MSC:
41A15 | Spline approximation |
28A80 | Fractals |
26A33 | Fractional derivatives and integrals |
60G18 | Self-similar stochastic processes |
60G35 | Signal detection and filtering (aspects of stochastic processes) |
62G08 | Nonparametric regression and quantile regression |
94A12 | Signal theory (characterization, reconstruction, filtering, etc.) |