2023—A twofold commemoration: the 100th birthday of Walsh functions and the 50th anniversary of Professor Joseph Leonard Walsh’s death

In 2023, it is 100 years after the introduction of Walsh functions and 50 years after the death of their introducer Joseph Leonard Walsh. This paper is an homage to J. L. Walsh and presents some insights into the development of Walsh and dyadic analysis with applications of Walsh functions in both m...

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Bibliographic Details
Published inSampling theory, signal processing, and data analysis Vol. 22; no. 1
Main Authors Butzer, Paul L., Pichler, Franz, Schipp, Ferenc, Stanković, Radomir S., Stens, Rudolf L.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2024
Subjects
Abstract Harmonic Analysis
Machine Learning
Mathematics
Mathematics and Statistics
Original Article
Signal,Image and Speech Processing
42C10
94A05
94A15
Walsh analysis
Dyadic analysis
28A15
Functional approximation
Walsh functions
Signal processing
94A12
Dyadic differentiation
System theory
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Summary:In 2023, it is 100 years after the introduction of Walsh functions and 50 years after the death of their introducer Joseph Leonard Walsh. This paper is an homage to J. L. Walsh and presents some insights into the development of Walsh and dyadic analysis with applications of Walsh functions in both mathematics and various areas of computing and engineering. The presentation is based on reminiscences of the authors acting in these areas.
ISSN:2730-5716
2730-5724
DOI:10.1007/s43670-023-00080-8