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A nonlinear analytic approach to the splitting theorem of Jacobs–de Leeuw–Glicksberg

✍ Scribed by Takashi Honda


Book ID
116761259
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
219 KB
Volume
75
Category
Article
ISSN
0362-546X

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We consider the Riemann map g ζ,w of the complex unit disk to the plane domain I[ζ] enclosed by the Jordan curve ζ and normalized by the conditions g ζ,w (0) = w, g ζ,w (0) > 0, where w is a point of I[ζ], and we present a nonlinear singular integral equation approach to prove that the nonlinear ope