1 citations · 1 across the 2 of their papers we have counts for
4 papers
Spectral determinant on Euclidean isosceles triangle envelopes of fixed area as a function of angles: absolute minimum and small-angle asymptotics
Victor Kalvin
We study extremal properties of the determinant of Friederichs selfadjoint Laplacian on the Euclidean isosceles triangle envelopes of fixed area as a function of angles. Small-angl…
Polyakov-Alvarez type comparison formulas for determinants of Laplacians on Riemann surfaces with conical singularities
Victor Kalvin
We present and prove Polyakov-Alvarez type comparison formulas for the determinants of Friederichs extensions of Laplacians corresponding to conformally equivalent metrics on a com…
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…
Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients
Victor Kalvin
In this paper we study weighted Hardy-Sobolev spaces of vector valued functions analytic on double-napped cones of the complex plane. We introduce these spaces as a tool for comple…