Peter Malicky

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It is known that every closed compact orientable 3-manifold M can be represented by a 4-edge-coloured 4-valent graph called a crystallisation of M. Casali and Grasselli proved that 3-manifolds of Heegaard genus g can be represented by crystallisations with a very simple structure which can be described by a 2(g +1)-tuple of non-negative integers. The sum of(More)
The classical Herglotz theorem states that a sequence (ak) ∞ k=−∞ of complex numbers is the sequence of the Fourier-Stieltjes coefficients of a non-decreasing function g defined on the interval 〈0, 2π〉 if and only if the sequence (ak)k=−∞ is positive definite. Recall that ak = ∫ 2π 0 e dg(t) is said to be the kth FourierStieltjes coefficient of a function g(More)
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