Definitizability of Certain Functions and the Existence of Eigenvectors of Unitary Operators in Pontrjagin Spaces

An Inequality for Fourier–Laplace Transf

An Inequality for Fourier–Laplace Transforms of Entire Functions, and the Existence of Exponential Frames in Fock Space

✍ Bo Berndtsson 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 318 KB

We study mapping properties of the Fourier Laplace transform between certain spaces of entire functions. We introduce a variant of the classical Fock space by integrating against the Monge AmpeÁ re measure of the weight function and show that the norm of the Fourier Laplace transform, in a dual Fock