19 citations · 22 across the 8 of their papers we have counts for
5 papers · 1 filter
Local automorphisms of the Hilbert ball
Bernhard Lamel
We prove an analogue of Alexander's Theorem for holomorphic mappings of the unit ball in a complex Hilbert space: Every holomorphic mapping which takes a piece of the boundary of t…
Spectral properties of the canonical solution operator to dbar
Friedrich Haslinger, Bernhard Lamel
We study boundedness, compactness, and Schatten-class membership of the canonical solution operator to dbar, restricted to (0,1)-forms with holomorphic coefficients, on L^2(d mu) w…
Lie group structures on automorphism groups of real-analytic CR manifolds
Bernhard Lamel, Nordine Mir, Dmitri Zaitsev
Given any real-analytic CR manifold M, we provide general conditions on M guaranteeing that the group of all its global real-analytic CR automorphisms is a Lie group (in an appropr…
Finite jet determination of local CR automorphisms through resolution of degeneracies
Bernhard Lamel, Nordine Mir
Let M be a connected real-analytic hypersurface in N-dimensional complex euclidean space whose Levi form is nondegenerate at some point. We prove that for every point p in M, there…
Degenerate real hypersurfaces in with few automorphisms
P. Ebenfelt, B. Lamel, D. Zaitsev
We introduce new biholomorphic invariants for real-analytic hypersurfaces in 2-dimensional complex space and show how they can be used to show that a hypersurface possesses few aut…