Continual Wavelets with Basis of Distributions

We study wavelet decompositions of information flows connected with trajectories in the space of distributions. We obtain an embedding criterion and the wavelet decomposition for the space of distributions and the space of dipoles. We show that it is possible to pass from the continual to the discre...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-04, Vol.262 (3), p.262-274
Main Author: Dem’yanovich, Yu. K.
Format: Article
Language:English
Subjects:
Decomposition
Dipoles
Information flow
Mathematics
Mathematics and Statistics
Online Access:Get full text
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Description
Summary:We study wavelet decompositions of information flows connected with trajectories in the space of distributions. We obtain an embedding criterion and the wavelet decomposition for the space of distributions and the space of dipoles. We show that it is possible to pass from the continual to the discrete case.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-05815-x