TY - JOUR

T1 - Frame set for shifted sinc-function

AU - Семенов, Андрей Вячеславович

AU - Белов, Юрий Сергеевич

PY - 2024/7/1

Y1 - 2024/7/1

N2 - We prove that frame set Fg for imaginary shift of sinc-function [Formula presented] can be described as Fg={(α,β):αβ⩽1,β⩽|b|}. In addition, we prove that Fg={(α,β):αβ⩽1} for window functions g of the form [Formula presented] such that ∑k⩾1|ak|e2π|wbk|

AB - We prove that frame set Fg for imaginary shift of sinc-function [Formula presented] can be described as Fg={(α,β):αβ⩽1,β⩽|b|}. In addition, we prove that Fg={(α,β):αβ⩽1} for window functions g of the form [Formula presented] such that ∑k⩾1|ak|e2π|wbk|

UR - https://www.mendeley.com/catalogue/6fce81c3-999a-30df-b0d7-7473ab15a024/

U2 - 10.1016/j.acha.2024.101654

DO - 10.1016/j.acha.2024.101654

M3 - Article

VL - 71

JO - Applied and Computational Harmonic Analysis

JF - Applied and Computational Harmonic Analysis

SN - 1063-5203

M1 - 101654

ER -