Hörmander’s inequality and point evaluations in de Branges space
Let f be an entire function of finite exponential type less than or equal to σwhich is bounded by 1 on the real axis and satisfies f(0)=1. Under these assumptions, Hörmander showed that f cannot decay faster than cos(σx) on the interval (-π/σ,π/σ). We extend this result to the setting of de Branges spaces with cosine replaced by the real part of the associated Hermite–Biehler function. We apply th
