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Problemy Peredachi Informatsii, 2013, Volume 49, Issue 1, Pages 37–45 (Mi ppi2100)  
This article is cited in 4 scientific papers (total in 4 papers)

Coding Theory

Local distributions and reconstruction of hypercube eigenfunctions

A. Yu. Vasil'eva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Moscow
Full-text PDF (201 kB) Citations (4)
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Abstract: We study eigenfunctions of a binary $n$-dimensional hypercube. We obtain a formula relating local distributions of such a function in a pair of orthogonal faces. Based on this, we prove that under certain conditions an eigenfunction can be reconstructed partially or completely given its values on a sphere.
Received: 07.03.2012
Revised: 31.10.2012
English version:
Problems of Information Transmission, 2013, Volume 49, Issue 1, Pages 32–39
DOI: https://doi.org/10.1134/S0032946013010031
Bibliographic databases:
Document Type: Article
UDC: 621.391.1+519.7
Language: Russian
Citation: A. Yu. Vasil'eva, “Local distributions and reconstruction of hypercube eigenfunctions”, Probl. Peredachi Inf., 49:1 (2013), 37–45; Problems Inform. Transmission, 49:1 (2013), 32–39
Citation in format AMSBIB
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\paper Local distributions and reconstruction of hypercube eigenfunctions
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\yr 2013
\vol 49
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\pages 37--45
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\jour Problems Inform. Transmission
\yr 2013
\vol 49
\issue 1
\pages 32--39
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
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    References:51
    First page:19
     
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