Convolution, Fourier analysis, and distributions generated by Riesz   bases
  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. 
Michael Ruzhansky and Niyaz Tokmagambetov
math.FA math.SP