6533b855fe1ef96bd12b067a
RESEARCH PRODUCT
Counting Zeros of Holomorphic Functions
Johannes Sjöstrandsubject
Pure mathematicsLogarithmExponential growthGeneralizationHolomorphic functionBoundary (topology)Quite AbleDomain (mathematical analysis)Mathematicsdescription
In this chapter we will generalize Proposition 3.4.6 of Hager about counting the zeros of holomorphic functions of exponential growth. In Hager and Sjostrand (Math Ann 342(1):177–243, 2008. http://arxiv.org/abs/math/0601381) we obtained such a generalization, by weakening the regularity assumptions on the functions ϕ. However, due to some logarithmic losses, we were not quite able to recover Hager’s original result, and we still had a fixed domain Γ with smooth boundary.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-01 |