Titlebook: Geometry of Holomorphic Mappings; Sergey Pinchuk,Rasul Shafikov,Alexandre Sukhov Book 2023 The Editor(s) (if applicable) and The Author(s)

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acolyte

Grundgesamtheit und Stichprobe,In this chapter we discuss analytic continuation of germs of biholomorphic maps between real analytic strictly pseudoconvex hypersurfaces along paths on the source hypersurface. We also explore the connection of local equivalence of real analytic boundaries of strictly pseudoconvex domains with their global biholomorphic equivalence.

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Pr?ferenzen, Auszahlungen und ErwartungenIn this chapter we prove that if a biholomorphic map between bounded domains in . with real analytic boundaries admits continuous extension to the boundary then it extends holomorphically to a neighbourhood of the closure of the source domain.

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Preliminaries,In this chapter we review some standard definitions and results in complex analysis and lay out the technical framework for the core material of the book.

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Continuous Extension of Holomorphic Mappings,In this chapter introduce the Kobayashi-Royden and other invariant metrics, and prove continuous extension to the boundary of proper holomorphic maps between strictly pseudoconvex domains.

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