Convolution, Fourier analysis, and distributions generated by Riesz bases
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math.SP
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analysisbiorthogonalconvolutionsdiscussdistributionsfouriergeneratedassociated
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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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