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19952026
most citedInverse Problem for a Curved Quantum Guide

1k citations

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Showing 2019 · math.CVShow all

5 papers · 2 filters

math.CV2019

From to N. Pointwise properties and algebraic structure in the Nevanlinna class

Xavier Massaneda, Pascal J. Thomas

This survey shows how, for the Nevanlinna class N of the unit disc, one can define and often characterize the analogues of well-known objects and properties related to the algebra…

math.CV2019

An analogue of the squeezing function for projective maps

Nikolai Nikolov, Pascal J. Thomas

In the spirit of Kobayashi's applications of methods of invariant metrics to questions of projective geometry, we introduce a projective analogue of the complex squeezing function.…

math.CV2019

Pluripotential solutions versus viscosity solutions to complex Monge-Amp{è}re flows

Vincent Guedj, Chinh H. Lu, Ahmed Zeriahi

We compare various notions of weak subsolutions to degenerate complex Monge-Amp{è}re flows, showing that they all coincide. This allows us to show that the viscosity solution coinc…

math.CV2019

Toeplitz Operators and Skew Carleson measures for weighted Bergman spaces on strongly pseudoconvex domains

Marco Abate, Samuele Mongodi, Jasmin Raissy

In this paper we study mapping properties of Toeplitz-like operators on weighted Bergman spaces of bounded strongly pseudconvex domains in . In particular we prove th…

math.CV2019★ 4 cited

Convergence of the weak Kähler-Ricci Flow on manifolds of general type

Tat Dat Tô

We study the Kähler-Ricci flow on compact Kähler manifolds whose canonical bundle is big. We show that the normalized Kähler-Ricci flow has long time existence in the viscosity sen…