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math.FA2020
On the spectral properties of the Hilbert transform operator on multi-intervals
Marco Bertola, Alexander Katsevich, Alexander Tovbis
Let be two multi-intervals with non-intersecting interiors. Consider the following operator $$A:\, L^2( J )\to L^2(E),\ (Af)(x) = \frac 1π\int_{ J } \frac {f(…
math-ph2020★ 3 cited
Matrix models for stationary Gromov-Witten invariants of the Riemann sphere
Marco Bertola, Giulio Ruzza
Inspired by recent formulæ of Dubrovin, Yang, and Zagier, we interpret the tau function enumerating stationary Gromov-Witten invariants of as an isomonodromic tau fu…