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Reproducing kernels and conformal mappings in \(\mathbb{R}^n\)

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Publication:1270856
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DOI10.1006/jmaa.1997.5849zbMath0917.30009OpenAlexW1968425418MaRDI QIDQ1270856

B.Gilligan

Publication date: 24 January 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5849


zbMATH Keywords

Möbius transformationsBergman kernelreproducing kernelsSzegö kernel


Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Kernel functions in one complex variable and applications (30C40)


Related Items (1)

Rarita–Schwinger fields in the half space


Uses Software

  • CLIFFORD


Cites Work

  • Möbius groups over general fields using Clifford algebras associated with spheres
  • Vahlen's group of Clifford matrices and spin-groups
  • Albert Crumeyrolle's work on Clifford algebras and spinors
  • Hypercomplex Function Theory and Hilbert Modules with Reproducing Kernel
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