Convolution and product in finitely generated shift-invariant spaces
Functional Analysis
2025-05-02 v1
Abstract
We discuss some structural properties of finitely generated shift-invariant (FGSI) spaces and subspaces of Sobolev spaces, particularly those related to convolution and the product within these spaces. We find shift-invariant solutions in FGSI spaces for a class of differential-difference equations with constant coefficients. Additionally, we analyze the Fourier multipliers in FGSI spaces and the wave fronts for the convolution and product in FGSI spaces.
Cite
@article{arxiv.2505.00197,
title = {Convolution and product in finitely generated shift-invariant spaces},
author = {Aleksandar Aksentijević and Suzana Aleksić and Stevan Pilipović},
journal= {arXiv preprint arXiv:2505.00197},
year = {2025}
}