Displaying similar documents to “Conformal mapping and inverse conductivity problem with one measurement”

Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

Vladimir Mityushev (1998)

Annales Polonici Mathematici

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The conformal mapping ω(z) of a domain D onto the unit disc must satisfy the condition |ω(t)| = 1 on ∂D, the boundary of D. The last condition can be considered as a Dirichlet problem for the domain D. In the present paper this problem is reduced to a system of functional equations when ∂D is a circular polygon with zero angles. The mapping is given in terms of a Poincaré series.

Spectrum generating on twistor bundle

Thomas Branson, Doojin Hong (2006)

Archivum Mathematicum

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Spectrum generating technique introduced by Ólafsson, Ørsted, and one of the authors in the paper (Branson, T., Ólafsson, G. and Ørsted, B., Spectrum generating operators, and intertwining operators for representations induced from a maximal parabolic subgroups, J. Funct. Anal. 135 (1996), 163–205.) provides an efficient way to construct certain intertwinors when K -types are of multiplicity at most one. Intertwinors on the twistor bundle over S 1 × S n - 1 have some K -types of multiplicity 2. With...