The Schwarz-Christoffel conformal mapping for “polygons” with infinitely many sides.
Riera, Gonzalo, Carrasco, Hernán, Preiss, Rubén (2008)
International Journal of Mathematics and Mathematical Sciences
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Riera, Gonzalo, Carrasco, Hernán, Preiss, Rubén (2008)
International Journal of Mathematics and Mathematical Sciences
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Emel'yanov, E.G. (2004)
Zapiski Nauchnykh Seminarov POMI
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Guoen Hu (2003)
Publicacions Matemàtiques
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Some boundedness results are established for sublinear operators on the homogeneous Herz spaces. As applications, some new theorems about the boundedness on homogeneous Herz spaces for commutators of singular integral operators are obtained.
Trefethen, Lloyd N., Driscoll, Tobin A. (1998)
Documenta Mathematica
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Calixto, Wesley Pacheco, Alvarenga, Bernardo, da Mota, Jesus Carlos, da Cunha Brito, Leonardo, Wu, Marcel, Alves, Aylton José, Neto, Luciano Martins, Antunes, Carlos F.R.Lemos (2010)
Mathematical Problems in Engineering
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Klaus Menke (1985)
Annales Polonici Mathematici
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Hiroshi Haruki (1977)
Annales Polonici Mathematici
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Fritz Rothberger (1967)
Colloquium Mathematicae
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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.
Michael Eastwood (2014)
Archivum Mathematicum
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The standard conformal compactification of Euclidean space is the round sphere. We use conformal geodesics to give an elementary proof that this is the only possible conformal compactification.
Yûsaku Komatu (1983)
Banach Center Publications
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