Browsing by Subject "Carleman formula"
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On a class of holomorphic functions representable by Carleman formulas in the disk from their values on the arc of the circle (2007)Let D be a unit disk and M be an open arc of the unit circle whose Lebesgue measure satisfies 0 < l(M) < 2π Our first result characterizes the restriction of the holomorphic functions f ∈ H(D), which are in the Hardy class ...
On a class of holomorphic functions representable by Carleman formulas in the interior of an equilateral cone from their values on its rigid base (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 ...