On the orthogonality of measures of different spectral type with respect to twisted Eberlein convolution
Classical Analysis and ODEs
2022-11-29 v2 Mathematical Physics
math.MP
Abstract
In this paper we show that under suitable conditions on their Fourier--Bohr coefficients, the twisted Eberlein convolution of a measure with pure point diffraction spectra and a measure with continuous diffraction spectra is zero. In particular, the diffraction spectrum of a linear combinations of the two measures is simply the linear combinations of the two diffraction spectra with absolute value square coefficients.
Keywords
Cite
@article{arxiv.2111.02547,
title = {On the orthogonality of measures of different spectral type with respect to twisted Eberlein convolution},
author = {Nicolae Strungaru},
journal= {arXiv preprint arXiv:2111.02547},
year = {2022}
}
Comments
24 pages, updated using the twisted version of the Eberlein convolution