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Hilbert spaces of
tensor-valued holomorphic functions on the unit ball of
ℂn
Stephen Hwang, Yang Liu and Genkai Zhang |
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Vol. 214 (2004), No. 2, 303–322
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Abstract |
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We study expansion of reproducing kernels for Hilbert spaces of holomorphic functions on the unit ball in ℂn with values in the antisymmetric tensor of the tangent and the cotangent spaces. As an application we find the composition series for the analytic continuation of certain families of holomorphic discrete series. |
Milestones
Received: 15 April 2003
Revised: 8 September 2003
Published: 1 April 2004
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Authors |
| Stephen Hwang | |
| Department of Engineering Physics and Mathematics University of Karlstad S-651 88 Karlstad Sweden |
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| Yang Liu | |
| Institutionen för
Naturvetenskap Örebro Universitet Örebro Sweden |
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| Genkai Zhang | |
| Department of Mathematics Chalmers University of Technology and Gothenburg University Gothenburg Sweden |
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