Browsing Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics by Author "Chailos, George"
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Article
On a class of holomorphic functions representable by Carleman formulas in some class of bounded, simply connected domains from their values on an analytic arc
Chailos, George; Vidras, Alekos (2006)Let sript U sign be a bounded, simply connected domain with Jordan rectifiable boundary and let M ⊂ ∂ sript U sign be an open analytic arc whose Lebesgue measure satisfies 0 < m(M) < m(∂ sript U sign. Our result gives a ...
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Article
On a class of holomorphic functions representable by Carleman formulas in the interior of an equilateral cone from their values on its rigid base
Chailos, George; Vidras, Alekos (2005)Let Δ be an equilateral cone in C with vertices at the complex numbers 0, z10, z20 and rigid base M (Section 1). Assume that the positive real semi-axis is the bisectrix of the angle at the origin. For the base M of the ...