On Universal Fourier–Walsh Series

Abstract The paper discusses the question of the existence of universal functions whose Fourier series in the Walsh system are conditionally universal in the sense of permutations in all weighted spaces $$L_{\mu}^{p}[0,1]$$ , $$p\geq 1$$ .

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Publication Details

Journal
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
Published
2025-04-01
DOI
https://doi.org/10.3103/s1068362325700013
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

On Universal Fourier–Walsh Series

Artsrun Sargsyan
Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)
Advanced Harmonic Analysis Research
article

On Universal Fourier–Walsh Series

Artsrun Sargsyan
article en

Abstract

Abstract The paper discusses the question of the existence of universal functions whose Fourier series in the Walsh system are conditionally universal in the sense of permutations in all weighted spaces $$L_{\mu}^{p}[0,1]$$ , $$p\geq 1$$ .

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)Vol. 60(2)
Yerevan State University (AM)
Openalex Percentile: Top 85%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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On Universal Fourier–Walsh Series — Artsrun Sargsyan · Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences) (2025) | TGRS Research Map | TGRS