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A note on the hypercomplex singular Cauchy-like integral in Douglis analysis
Abstract
Hypercomplex analysis extends classical complex analysis to Douglis algebras, replacing holomorphic functions with hyperanalytic functions, i.e., null solutions of the Douglis operator in ℝ2 (identifying ℝ2 with ℂ). The hypercomplex singular Cauchy-like integral, is one of the main actors in the hypercomplex analysis and many properties have been studied in recently decades. This paper aims to present local estimates of the hypercomplex singular Cauchy-like integral.
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BibTeX
@misc{paulinobasurto2026note,
title = {{A note on the hypercomplex singular Cauchy-like integral in Douglis analysis}},
author = {Isidro Paulino-Basurto and Jean Marie Vilaire and José Oscar González-Cervantes and Juan Bory-Reyes},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27122},
eprint = {2610.27122},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27122},
}
RIS
TY - UNPB
TI - A note on the hypercomplex singular Cauchy-like integral in Douglis analysis
AU - Isidro Paulino-Basurto
AU - Jean Marie Vilaire
AU - José Oscar González-Cervantes
AU - Juan Bory-Reyes
PY - 2026
DA - 2026/10/19
PB - arXiv
DO - 10.48550/arxiv.2610.27122
UR - https://arxiv.org/abs/2610.27122
AB - Hypercomplex analysis extends classical complex analysis to Douglis algebras, replacing holomorphic functions with hyperanalytic functions, i.e., null solutions of the Douglis operator in ℝ^2 (identifying ℝ^2 with ℂ). The hypercomplex singular Cauchy-like integral, is one of the main actors in the hypercomplex analysis and many properties have been studied in recently decades. This paper aims to present local estimates of the hypercomplex singular Cauchy-like integral.
ER -