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4 papers · 1 filter
An affine characterization of quadratic curves
Thomas Binder
By analyzing the affine Taylor expansion of a non-degenerate plane curve, we obtain characterizations of classes of such curves via curvature properties of the gravity curve. The p…
The fast Fourier Transform and fast Wavelet Transform for Patterns on the Torus
Ronny Bergmann
We introduce a fast Fourier transform on regular d-dimensional lattices. We investigate properties of congruence class representants, i.e. their ordering, to classify directions an…
An orthogonal polynomial analogue of the Landau-Pollak-Slepian time-frequency analysis
Wolfgang Erb
The aim of this article is to present a time-frequency theory for orthogonal polynomials on the interval [-1,1] that runs parallel to the time-frequency analysis of bandlimited fun…
Deciding polyhedrality of spectrahedra
Avinash Bhardwaj, Philipp Rostalski, Raman Sanyal
Spectrahedra are linear sections of the cone of positive semidefinite matrices that, as convex bodies, generalize the class of polyhedra. In this paper we investigate the problem o…