Is there a Teichm\"uller principle in higher dimensions?
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🧮 math.CV
math.OC
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principleteichmullercomplexdifferentialapproachassertsassociated
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The underlying theme of Teichm\"uller's papers in function theory is a general principle which asserts that every extremal problem for univalent functions of one complex variable is connected with an associated quadratic differential. The purpose of this paper is to indicate a possible way of extending Teichm\"uller's principle to several complex variables. This approach is based on the Loewner differential equation.
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