Seminario di analisi matematica
ore
11:00
presso Sala conferenze del workshop Analysis Days in Piedmont 2019 a Salmour CN
A renowned space of entire functions of one complex variable is the Paley–Wiener space P W A , that is, the space of
entire functions of exponential type A whose restriction to the real line is square integrable. In this talk I will present
a generalization of P W A in several complex variables. In particular, I will consider entire functions which satisfy
a suitable exponential growth condition and whose restriction to the boundary of the Siegel half-space satisfy some
integrability conditions. For this space I will provide a Paley–Wiener type characterization and a sampling result.
This is a joint work with Marco Peloso and Maura Salvatori.