Author

Dimitrios Vavitsas

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Preprint Sep 2026

Uniform Chebyshev approximations of functions satisfying a variation-type condition: reconstruction of time-varying signals on graphs

We prove uniform approximation theorems for Chebyshev expansions of continuous functions of two variables. Under a variation-type condition on the square $[-1,1]^2$, a continuous function admits a uniformly convergent Chebyshev expansion in the first variable whose coefficients are continuous functions of the second va...

D. Bianchi, Sandra Saliani, Dimitrios Vavitsas · 0 citations

Preprint Jul 2026

Boundary zeros of stable polynomials in the unit ball

Interpolation theory in the unit ball and semi-algebraic geometry yield explicit descriptions of the boundary zeros of stable polynomials. Given a polynomial $p\in \mathbb{C}[z_1, ...,z_n]$ that is zero-free in the unit ball and vanishes on the sphere along submanifolds of dimension at most one, we describe the boundar...

Dimitrios Vavitsas, Jujie Wu, Konstantinos Zarvalis · 0 citations