The Cauchy kernel for cones

Sławomir Michalik

Studia Mathematica (2004)

  • Volume: 163, Issue: 1, page 21-39
  • ISSN: 0039-3223

Abstract

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A new representation of the Cauchy kernel Γ for an arbitrary acute convex cone Γ in ℝⁿ is found. The domain of holomorphy of Γ is described. An estimation of the growth of Γ near the singularities is given.

How to cite

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Sławomir Michalik. "The Cauchy kernel for cones." Studia Mathematica 163.1 (2004): 21-39. <http://eudml.org/doc/284568>.

@article{SławomirMichalik2004,
abstract = {A new representation of the Cauchy kernel $_\{Γ\}$ for an arbitrary acute convex cone Γ in ℝⁿ is found. The domain of holomorphy of $_\{Γ\}$ is described. An estimation of the growth of $_\{Γ\}$ near the singularities is given.},
author = {Sławomir Michalik},
journal = {Studia Mathematica},
keywords = {Cauchy kernel; holomorphic continuation},
language = {eng},
number = {1},
pages = {21-39},
title = {The Cauchy kernel for cones},
url = {http://eudml.org/doc/284568},
volume = {163},
year = {2004},
}

TY - JOUR
AU - Sławomir Michalik
TI - The Cauchy kernel for cones
JO - Studia Mathematica
PY - 2004
VL - 163
IS - 1
SP - 21
EP - 39
AB - A new representation of the Cauchy kernel $_{Γ}$ for an arbitrary acute convex cone Γ in ℝⁿ is found. The domain of holomorphy of $_{Γ}$ is described. An estimation of the growth of $_{Γ}$ near the singularities is given.
LA - eng
KW - Cauchy kernel; holomorphic continuation
UR - http://eudml.org/doc/284568
ER -

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