P. Gauthier

activity

20062024

most citedApproximation of a function and its derivatives by entire functions

5 citations · 10 across the 12 of their papers we have counts for

collaborators

Showing 2019 · math.CVShow all

2 papers · 2 filters

math.CV2019

An algebra of polyanalytic functions

Abtin Daghighi, Paul M. Gauthier

The most important uniform algebra is the family of continuous functions on a compact subset $K$ of the complex plane $C$ which are analytic on the interior int $(K)$ For c…

math.CV2019

A function algebra providing new Mergelyan type theorems in several complex variables

Javier Falcó, Paul M. Gauthier, Myrto Manolaki +1

For compact sets $K \subset C^{d}$ , we introduce a subalgebra $A_{D} (K)$ of $A (K)$ , which allows us to obtain Mergelyan type theorems for products of planar compact sets as…