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Convolution, Fourier analysis, and distributions generated by Riesz bases

Monatshefte fur Mathematik (2018) 187(1) 147-170
DOI: 10.1007/s00605-018-1158-y
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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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Ruzhansky, M., & Tokmagambetov, N. (2018). Convolution, Fourier analysis, and distributions generated by Riesz bases. Monatshefte Fur Mathematik, 187(1), 147–170. https://doi.org/10.1007/s00605-018-1158-y

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