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Mittag-Leffler theorems on Riemann surfaces and Riemannian manifolds

  Published:1998-06-01
 Printed: Jun 1998
  • Paul M. Gauthier
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Abstract

Cauchy and Poisson integrals over {\it unbounded\/} sets are employed to prove Mittag-Leffler type theorems with massive singularities as well as approximation theorems for holomorphic and harmonic functions.
Keywords: holomorphic, harmonic, Mittag-Leffler, Runge holomorphic, harmonic, Mittag-Leffler, Runge
MSC Classifications: 30F99, 31C12 show english descriptions None of the above, but in this section
Potential theory on Riemannian manifolds [See also 53C20; for Hodge theory, see 58A14]
30F99 - None of the above, but in this section
31C12 - Potential theory on Riemannian manifolds [See also 53C20; for Hodge theory, see 58A14]
 

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