Stability condition and Riesz bounds for exponential splines
Keywords:
E-spline, Riesz basis, Fourier transform, functional seriesAbstract
Stability of the family of integer shifts of exponential spline $U_{m,p}$ for arbitrary $m,p$ is proven; Riesz bounds are determined. The method described in the paper allows to calculate Riesz bounds for the convolution of a B-spline and a function with an appropriated Fourier transform.
Published
2024-01-28
Issue
Section
Real, complex and functional analysis