On distortion in pseudo-conformal mapping
نویسندگان
چکیده
منابع مشابه
On Moduli in Conformal Mapping.
Geometrically, the theorem states that if a variety U/k becomes birationally equivalent to an Abelian variety over the algebraic closure of k, then it is birationally equivalent to an Abelian variety over k. (If k is a field with a discrete valuation, and ir is a prime element, then the curve defined by the equation X" + 7rY" + 7r2Zn = 0, with n = 3, shows that the conclusion of the theorem doe...
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1. The present note contains several remarks on an earlier paper by the author [2].1 In Chapter IV, §4, which deals with the question of when we can have equality of modules for a triply-connected domain and a proper subdomain, the last sentence was added in proof. This accounts for the apparent disparity between it and the preceding one. In order to justify this statement we observe first that...
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Few analytical techniques are better known to students of applied mathematics than conformal mapping. It is the classical method for solving problems in continuum mechanics, electrostatics, and other fields involving the two-dimensional Laplace and Poisson equations. To employ the method, one needs an explicit mapping function from some standard domain— such as the unit disk or upper half plane...
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o but containing the line segment 0 _ w < 1, and whose boundary possesses at the point w = 1 forward and backward tangents making equal angles a/2 (>0) with the negative direction of the axis of reals. Let thefunction w = f(z) map the region R, :x < 1 of the z(= x + iy)-plane onto Rw in such a way that we have f(O) = 0, f(1) = 1. Let the sequence xn, 0 < xn < 1, approach unity. Then for z on an...
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A conformal mapping in a plane domain locally maps circles to circles. More generally, quasiconformal mappings locally map circles to ellipses of bounded distortion. In this work, we study the corresponding situation for solutions to Stein-Weiss systems in the (n + 1)D Euclidean space. This class of solutions coincides with the subset of monogenic quasiconformal mappings with nonvanishing hyper...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1956
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1956.6.565