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

任命

Proper Holomorphic Mappings,In this chapter we extend the results of the previous chapters to proper holomorphic mappings. For this we introduce proper holomorphic correspondences—multiple-valued holomorphic maps.

Congregate

enhance

Palate

Geometry of Real Hypersurfaces: Analytic Continuation,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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Glaci冰

Holomorphic Correspondences,In this chapter we prove that if a proper holomorphic map between bounded domains in . with real analytic boundaries extends to the boundary as a proper holomorphic correspondence then it extends as a holomorphic map.

NUDGE

Extension of Proper Holomorphic Mappings,In 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.

羊欄

Extension in ,In this chapter we prove that every biholomorphic map between bounded domains in . with real analytic boundary admits holomorphic extension to a neighbourhood of the closure of the source domain.

CRAFT

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1660-8046 esults.Offers a unified treatment theory of boundary behavio.This monograph explores the problem of boundary regularity and analytic continuation of holomorphic mappings between domains in complex Euclidean spaces. Many important methods and techniques in several complex variables have been develope