New Paley–Wiener Theorems.

Autor: Bang, Ha Huy, Huy, Vu Nhat
Zdroj: Complex Analysis & Operator Theory; Jun2020, Vol. 14 Issue 4, p1-10, 10p
Abstrakt: In this paper, for an arbitrary fixed compact set K, we find necessary and sufficient conditions on the Taylor expansion coefficients of entire functions of exponential type so that these functions are the Fourier image of distributions supported in K. In other words, we state the Paley–Wiener theorem in the language of Taylor expansion coefficients. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index