3 papers
math.CV2007
Rigidity, boundary interpolation and reproducing kernels
Daniel Alpay, Simeon Reich, David Shoikhet
We use reproducing kernel methods to study various rigidity problems. The methods and setting allow us to also consider the non-positive case.
math.CV2007
A rigidity theorem for holomorphic generators on the Hilbert ball
Mark Elin, Marina Levenshtein, Simeon Reich +1
We present a rigidity property of holomorphic generators on the open unit ball of a Hilbert space . Namely, if $f\in\Hol (\mathbb{B},H)$ is the generator of a one-p…
math.CV2007
Another look at the Burns-Krantz Theorem
David Shoikhet
We obtain a generalization of the Burns-Krantz rigidity theorem for holomorphic self-mappings of the unit disk in the spirit of the classical Schwarz-Pick Lemma and its continuous…