An extremal problem and inequalities for entire functions of exponential type
We study two variations of the classical one-delta problem for entire functions of exponential
type, known also as the Carathéodory–Fejér–Turán problem. The first variation imposes the …
type, known also as the Carathéodory–Fejér–Turán problem. The first variation imposes the …
Sign uncertainty and de Branges spaces
E Carneiro, T Ismoilov, AP Ramos - arXiv preprint arXiv:2408.01186, 2024 - arxiv.org
We investigate here the sign uncertainty phenomenon for bandlimited functions, with a
competing condition given by integration with respect to a general measure. Our main result …
competing condition given by integration with respect to a general measure. Our main result …
Zeros of -Functions in Low-Lying Intervals and de Branges spaces
AP Ramos - arXiv preprint arXiv:2404.07832, 2024 - arxiv.org
We consider a variant of a problem first introduced by Hughes and Rudnick (2003) and
generalized by Bernard (2015) concerning conditional bounds for small first zeros in a family …
generalized by Bernard (2015) concerning conditional bounds for small first zeros in a family …
AN EXTREMAL PROBLEM AND INEQUALITIES FOR ENTIRE FUNCTIONS OF EXPONENTIAL TYPE
We study two variations of the classical one-delta problem for entire functions of exponential
type, known also as the Carath ́eodory–Fej ́er–Tura ́n problem. The first variation imposes …
type, known also as the Carath ́eodory–Fej ́er–Tura ́n problem. The first variation imposes …