I had a large interest in discrete convolution operations a few years ago, particularly in application to digital image processing. Two papers that I published may be of interest to those here:<p>[A paper that as a lemma demonstrates the influence of boundary conditions on the use of discrete orthogonal transformations for fast convolution operations]
<a href="https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ZQzlOasAAAAJ&citation_for_view=ZQzlOasAAAAJ:IjCSPb-OGe4C" rel="nofollow">https://scholar.google.com/citations?view_op=view_citation&h...</a><p>[accelerating convolution operations when a matrix factorization (SVD, DCT for jpeg, etc.) is already available]<p><a href="https://scholar.google.com/citations?view_op=view_citation&hl=en&user=ZQzlOasAAAAJ&citation_for_view=ZQzlOasAAAAJ:zYLM7Y9cAGgC" rel="nofollow">https://scholar.google.com/citations?view_op=view_citation&h...</a>