Some thoughts on the Cauchy transform and on the Hilbert transform

Abstract The aim of this study is to describe what we think is the maximal definition space of the Cauchy and of the Hilbert transform in the framework of distribution theory.

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Publication Details

Journal
Acta Scientiarum Mathematicarum
Published
2026-08-17
DOI
https://doi.org/10.1007/s44146-026-00266-1
Primary Topic
Mathematical and Theoretical Analysis
Type
article
Field-Weighted Citation Impact
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article

Some thoughts on the Cauchy transform and on the Hilbert transform

Peter Wagner
Acta Scientiarum Mathematicarum
Mathematical and Theoretical Analysis
article

Some thoughts on the Cauchy transform and on the Hilbert transform

Peter Wagner
article en

Abstract

Abstract The aim of this study is to describe what we think is the maximal definition space of the Cauchy and of the Hilbert transform in the framework of distribution theory.

Acta Scientiarum Mathematicarum
Universität Innsbruck (AT)
Reduced inequalities
Openalex Percentile: Top 4%
Mathematical and Theoretical Analysis
DOIOpen Access PDFOpenAlex
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Some thoughts on the Cauchy transform and on the Hilbert transform — Peter Wagner · Acta Scientiarum Mathematicarum (2026) | TGRS Research Map | TGRS