13 citations · 54 across the 19 of their papers we have counts for
8 papers · 1 filter
Triangulations of singular constant curvature spheres via Belyi functions and determinants of Laplacians
Victor Kalvin
We study the zeta-regularized spectral determinant of the Friedrichs Laplacians on the singular spheres obtained by cutting and glueing copies of constant curvature (hyperbolic, sp…
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…
On Determinants of Laplacians on Compact Riemann Surfaces Equipped with Pullbacks of Conical Metrics by Meromorphic Functions
Victor Kalvin
Let be any conical (or smooth) metric of finite volume on the Riemann sphere . On a compact Riemann surface of genus consider a meromorphic funciton…
Metrics of constant positive curvature with conical singularities, Hurwitz spaces, and
Victor Kalvin, Alexey Kokotov
Let be a meromorphic function of degree with simple poles and simple critical points on a compact Riemann surface of genus and let be…
Analysis of Perfectly Matched Layer operators for acoustic scattering on manifolds with quasicylindrical ends
Victor Kalvin
We prove stability and exponential convergence of the Perfectly Matched Layer (PML) method for acoustic scattering on manifolds with axial analytic quasicylindrical ends. These man…
Limiting absorption principle and perfectly matched layer method for Dirichlet Laplacians in quasi-cylindrical domains
Victor Kalvin
We establish a limiting absorption principle for Dirichlet Laplacians in quasi-cylindrical domains. Outside a bounded set these domains can be transformed onto a semi-cylinder by s…
Complex scaling for the Dirichlet Laplacian in a domain with asymptotically cylindrical end
Victor Kalvin
We develop the complex scaling method for the Dirichlet Laplacian in a domain with asymptotically cylindrical end. We define resonances as discrete eigenvalues of non-selfadjoint 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…