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On perfectly homogeneous bases inF-spaces

✍ Scribed by J. R. Morrow


Book ID
112886155
Publisher
The Hebrew University Magnes Press
Year
1978
Tongue
English
Weight
244 KB
Volume
29
Category
Article
ISSN
0021-2172

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## Abstract We present a construction of β€œflat wavelet bases” adapted to the homogeneous Sobolev spaces __αΈ’^s^__ (ℝ^__n__^ ). They solve the problem of the phenomenon of infrared divergence which appears for usual wavelet expansions in __αΈ’^s^__ (ℝ^__n__^ ): these bases remove the divergence in the