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 provides a framework related to the theory of de Branges spaces of entire functions, that allows one to find the sharp constants and classify the extremizers in a broad range of situations. We discuss an application in number theory, in connection to bounds for zeros of L-functions.
Sign uncertainty and de Branges spaces / Carneiro, E., Ismoilov, T., De Azevedo Bezerra Vitor Ramos, A.P.. - In: ANNALES DE L'INSTITUT FOURIER. - ISSN 0373-0956. - (In corso di stampa).
Sign uncertainty and de Branges spaces
Tolibjon Ismoilov;Antonio Pedro Ramos
In corso di stampa
Abstract
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 provides a framework related to the theory of de Branges spaces of entire functions, that allows one to find the sharp constants and classify the extremizers in a broad range of situations. We discuss an application in number theory, in connection to bounds for zeros of L-functions.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
