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arXiv · 2111.02547

On the orthogonality of measures of different spectral type with respect to twisted Eberlein convolution

Nicolae Strungaru
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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.

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Nicolae Strungaru. 2021-11-03. On the orthogonality of measures of different spectral type with respect to twisted Eberlein convolution. https://arxiv.org/abs/2111.02547

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