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20092026
most citedWeighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients

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math.DG2026

Spectral determinants of the Bolza surface and the Klein quartic

Victor Kalvin

We obtain closed explicit formulas for the spectral determinants of the smooth hyperbolic Bolza surface and the Klein quartic. In each case, a multiplicative relation expresses the…

math.DG2017

Determinant of Laplacian on tori of constant positive curvature with one conical point

Victor Kalvin, Alexey Kokotov

We find an explicit expression for the zeta-regularized determinant of (the Friedrichs extension) of the Laplacian on a compact Riemann surface of genus one with conformal metric o…