Local characterization of holomorphic automorphisms of Siegel domains

DOI10.1007/BF01076719zbMath0572.32018MaRDI QIDQ1062190

Gennadi M. Henkin, Alexander Tumanov

Publication date: 1983

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

CR-functiontangential Cauchy-Riemann equationsBergman-Shilov boundarycontinuation of automorphism of a nondegenerate Siegel domain

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Holomorphic mappings and correspondences (32H99) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)

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Germs of measure-preserving holomorphic maps from bounded symmetric domains to their Cartesian products ⋮ On the automorphisms of Siegel domains ⋮ A remark on a theorem by Henkin and Tumanov on separately CR functions ⋮ Principe de Hartogs dans les variétés CR. (The Hartogs principle for CR manifolds) ⋮ A Wong-Rosay type theorem for proper holomorphic self-maps ⋮ Local CR-diffeomorphisms of CR-quadrics of codimension two. I: Standard Hermitian quadrics ⋮ Some aspects of holomorphic mappings: a survey ⋮ On symmetric Cauchy-Riemann manifolds ⋮ Canonical isomorphism of two Lie algebras arising in CR-geometry ⋮ Chaînes holomorphes de bord donné dans $\bbfC P^n$ ⋮ Regularization of local CR-automorphisms of real-analytic CR-manifolds ⋮ Separate algebraicity along families of algebraic curves ⋮ Local geometric properties of real submanifolds in complex space ⋮ Analytic discs and the regularity of CR mappings in higher codimension ⋮ Geometry of quasi-circular domains and applications to tetrablock ⋮ Automorphisms and holomorphic mappings of standard CR-manifolds and Siegel domains ⋮ On Beloshapka's rigidity conjecture for real submanifolds in complex space ⋮ A matrix Poincaré formula for holomorphic automorphisms of quadrics of higher codimension. Real associative quadrics ⋮ Convergence and finite determination of formal CR mappings ⋮ A reflection principle on strongly pseudoconvex domains with generic corners ⋮ Automorphisms of nondegenerate CR quadrics and Siegel domains. Explicit description.

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