8 citations · 28 across the 13 of their papers we have counts for
15 papers
Positive quadrature and mobile sampling of multivariate trigonometric polynomials
Stefan Kunis
The geometric properties of quadrature points in one and multiple dimensions are a classical topic in numerical analysis. Recently, generalized quadrature methods, where discrete p…
Approximation and Interpolation of Singular Measures by Trigonometric Polynomials
Paul Catala, Mathias Hockmann, Stefan Kunis +1
Complex signed measures of finite total variation are a powerful signal model in many applications. Restricting to the -dimensional torus, finitely supported measures allow for…
Sparse super resolution is Lipschitz continuous
Mathias Hockmann, Stefan Kunis
Motivated by the application of neural networks in super resolution microscopy, this paper considers super resolution as the mapping of trigonometric moments of a discrete measure…
Multivariate Vandermonde matrices with separated nodes on the unit circle are stable
Stefan Kunis, Dominik Nagel, Anna Strotmann
We prove explicit lower bounds for the smallest singular value and upper bounds for the condition number of rectangular, multivariate Vandermonde matrices with scattered nodes on t…
On the smallest singular value of multivariate Vandermonde matrices with clustered nodes
Stefan Kunis, Dominik Nagel
We prove lower bounds for the smallest singular value of rectangular, multivariate Vandermonde matrices with nodes on the complex unit circle. The nodes are ``off the grid'', group…
Learning algebraic decompositions using Prony structures
Stefan Kunis, Tim Römer, Ulrich von der Ohe
We propose an algebraic framework generalizing several variants of Prony's method and explaining their relations. This includes Hankel and Toeplitz variants of Prony's method for t…