Nonexistence of compactly supported wavelet base with non-integer scale

Nonexistence of compactly supported wavelet base with non-integer scale

<正> The Lebesgue measure of the co-spectrum of the scaling function of multiresolution analysis with non-integer scale was proved to be non-zero, and the compactly supported wavelet was proved not to exist in multiresolution model with non-integer scale.

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Veröffentlicht in:自然科学进展：英文版 1997 (4), p.47-49
1. Verfasser: 王桥
Format: Artikel
Sprache:eng
Schlagworte:
analysis
base
multiresolution
non-integer
scale
compactly
supported
wavelet
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Zusammenfassung:<正> The Lebesgue measure of the co-spectrum of the scaling function of multiresolution analysis with non-integer scale was proved to be non-zero, and the compactly supported wavelet was proved not to exist in multiresolution model with non-integer scale.
ISSN:1002-0071