Fractal Functions and Wavelet Expansions Based on Several Scaling Functions
We present a method for constructing translation and dilation invariant functions spaces using fractal functions defined by a certain class of iterated function systems. These spaces generalize the C0 function spaces constructed in [D. Hardin, B. Kessler, and P. R. Massopust, J. Approx. Theory71 (19...
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| Veröffentlicht in: | Journal of approximation theory 1994-09, Vol.78 (3), p.373-401 |
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| container_end_page | 401 |
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| container_issue | 3 |
| container_start_page | 373 |
| container_title | Journal of approximation theory |
| container_volume | 78 |
| creator | Geronimo, J.S. Hardin, D.P. Massopust, P.R. |
| description | We present a method for constructing translation and dilation invariant functions spaces using fractal functions defined by a certain class of iterated function systems. These spaces generalize the C0 function spaces constructed in [D. Hardin, B. Kessler, and P. R. Massopust, J. Approx. Theory71 (1992), 104-120] including, for instance, arbitrarily smooth function spaces. These new function spaces are generated by several scaling functions and their integer-translates. We give necessary and sufficient conditions for these function spaces to form a multiresolution analysis of L2R. |
| doi_str_mv | 10.1006/jath.1994.1085 |
| format | Article |
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| ispartof | Journal of approximation theory, 1994-09, Vol.78 (3), p.373-401 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete - AutoHoldings; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| title | Fractal Functions and Wavelet Expansions Based on Several Scaling Functions |
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