Convolution, Fourier analysis, and distributions generated by Riesz bases

2016/11/11 by Ruzhansky, Michael, Tokmagambetov, Niyaz
#42A85 #44A35 #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1611.03791

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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