2003/09/25 by Michael Kaltenbäck, Harald Woracek · 2 citations
Mathematics · #Holomorphic and Operator Theory #Algebraic and Geometric Analysis #Spectral Theory in Mathematical Physics
paper · doi:10.1112/s0024610703004502
openalex publication_date 2003/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
A partition of the class of all Hermite–Biehler entire functions of finite order into subclasses Pκ is introduced. A given function E(z) belongs to Pκ if and only if −z−1log E(z)∈Nκ, where the class Nκ is a well studied family of meromorphic functions on the upper half plane, which originates from operator theoretic problems. It is also proved that the subclasses Pκ are stable under bounded type perturbation.