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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.)

Citations:

Zbl 1390.41010
Full Text: DOI