Convolution, Fourier analysis, and distributions generated by Riesz bases
Functional Analysis
2017-12-21 v2 Spectral Theory
Abstract
In this note we discuss notions of convolutions generated by biorthogonal systems of elements of a Hilbert space. We develop the associated biorthogonal Fourier analysis and the theory of distributions, discuss properties of convolutions and give a number of examples.
Keywords
Cite
@article{arxiv.1611.03791,
title = {Convolution, Fourier analysis, and distributions generated by Riesz bases},
author = {Michael Ruzhansky and Niyaz Tokmagambetov},
journal= {arXiv preprint arXiv:1611.03791},
year = {2017}
}
Comments
20 pages; updated version, with a changed title. To appear in Monatsh. Math