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Boundary zeros of stable polynomials in the unit ball

Vavitsas, Dimitrios et al.
arXiv (All) · Papers
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complex-variablesprimarysecondary
We study polynomials in several complex variables that are stable (i.e. they have no zeros in the unit ball $\mathbb{B}_n$), but vanish on the unit sphere along submanifolds of dimension at most one. We characterize the zeros of such polynomials on the unit sphere in terms of peak sets for the space
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