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arXiv · 1611.03791

Convolution, Fourier analysis, and distributions generated by Riesz bases

Michael Ruzhansky·Niyaz Tokmagambetov
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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.

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Michael Ruzhansky, Niyaz Tokmagambetov. 2016-11-11. Convolution, Fourier analysis, and distributions generated by Riesz bases. https://arxiv.org/abs/1611.03791

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