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1. CMB 2003 (vol 46 pp. 252)
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Beurling-Dahlberg-Sjögren Type Theorems for Minimally Thin Sets in a Cone This paper shows that some characterizations of minimally thin sets
connected with a domain having smooth boundary and a half-space in
particular also hold for the minimally thin sets at a corner point of
a special domain with corners, {\it i.e.}, the minimally thin set at
$\infty$ of a cone.
Categories:31B05, 31B20 |
2. CMB 1997 (vol 40 pp. 60)
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Cauchy's problem for harmonic functions with entire data on a sphere We give an elementary potential-theoretic proof of a theorem of
G.~Johnsson: all solutions of Cauchy's problems for the Laplace
equations with an entire data on a sphere extend harmonically to
the whole space ${\bf R}^N$ except, perhaps, for the center of the
sphere.
Keywords:harmonic functions, Cauchy's problem, homogeneous harmonics Categories:35B60, 31B20 |