activity
20142025
collaborators

6 papers

math.SG2025

Rationally Convex Surfaces with hyperbolic complex tangencies

Georgios Dimitroglou Rizell, Mark G. Lawrence

We construct the first examples of rationally convex surfaces in the complex plane with hyperbolic complex tangencies. In fact, we give two very different types of rationally conve…

math.CV2022

Real Analytic Bergman Spaces

Mark G. Lawrence

The usual examples of Bergman spaces consist of the closure of an algebra of holomorphic functions on a domain. One can also take the real part of such functions, but essentially o…

math.CV2022

Bergman-Szegő asymptotic formulas and the strip problem

Mark G. Lawrence

Identifying holomorphic functions by moment conditions is a classical problem. This paper explores ideas introduced by Tumanov in a well known paper on the strip problem, and build…

math.CV2018

Polynomial hull of a torus fibered over the circle

Julien Duval, Mark Lawrence

Given a 2-sheeted torus over the circle with winding number 1, we prove that its polynomial hull is a union of 2-sheeted holomorphic discs. Moreover when the hull is non degenerate…

math.CV2015

The CR Hartogs separate analyticity theorem for strictly convex domains

Mark G. Lawrence

For a large class of convex domains in , it is shown that an function on the boundary is CR if there are holomorphic extensions on almost all slices of D by complex…

math.CV2014

Bernstein-Walsh inequalities in higher dimensions over exponential curves

Shirali Kadyrov, Mark Lawrence

Let be linearly independent over , set We prove sharp estimates for…