Zero Estimates on Group Varieties I.
Zero sums of products of Toeplitz and Hankel operators on the Hardy space
On the Hardy space of the unit disk, we consider operators which are finite sums of products of a Toeplitz operator and a Hankel operator. We then give characterizations for such operators to be zero. Our results extend several known results using completely different arguments.
Zeroes of the Bergman kernel of Hartogs domains
We exhibit a class of bounded, strongly convex Hartogs domains with real-analytic boundary which are not Lu Qi-Keng, i.e. whose Bergman kernel function has a zero.
Zéros de fonctions entières et hypersurfaces algébriques.
Zeros of bounded holomorphic functions in strictly pseudoconvex domains in
Let be a bounded strictly pseudoconvex domain in and let be a positive divisor of with finite area. We prove that there exists a bounded holomorphic function such that is the zero set of . This result has previously been obtained by Berndtsson in the case where is the unit ball in .
Zum Satz von Frisch.
Zweite Note über analytische Functionen mehrerer Veränderlichen