Finite Parseval Frames in Walsh Analysis

Methods for constructing finite Parseval frames by using Walsh matrices and the discrete Vilenkin-Chrestenson transform are described. Keywords and phrases: Walsh function, frame, orthogonal wavelet, discrete transformation, Kadison-Singer problem. AMS Subject Classification: 42C15, 42C40

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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 263; no. 4; pp. 579 - 589
Main Author Farkov, Yu. A.
Format Journal Article
LanguageEnglish
Published New York Springer US 09.05.2022
Springer
Springer Nature B.V
Subjects
Analysis
Mathematics
Mathematics and Statistics
Signal processing
42C40
Walsh function
orthogonal wavelet
discrete transformation
Kadison
42C15
frame
Singer problem
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ISSN1072-3374
1573-8795
1573-8795
DOI10.1007/s10958-022-05949-y

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Summary:Methods for constructing finite Parseval frames by using Walsh matrices and the discrete Vilenkin-Chrestenson transform are described. Keywords and phrases: Walsh function, frame, orthogonal wavelet, discrete transformation, Kadison-Singer problem. AMS Subject Classification: 42C15, 42C40
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
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content type line 14
ISSN:1072-3374
1573-8795
1573-8795
DOI:10.1007/s10958-022-05949-y