A. Daghighi

activity

20142025

collaborators

Showing math.CVShow all

5 papers · 1 filter

math.CV2025

Theory of Polyanalytic functions

Abtin Daghighi

Brief Description: The book provides a unique highly self-contained text introducing the reader to the classical and modern theory of polyanalytic functions and their generalizatio…

math.CV2021

On Radó's theorem for polyanalytic functions

Abtin Daghighi

We prove versions of Radó's theorem for polyanalytic functions in one variable and also on simply connected $C$ -convex domains in $C^{n}$ . Let $Ω \subset C$ …

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.CV2016

Level sets of certain classes of $α$ -analytic functions

Abtin Daghighi, Frank Wikström

For an open set $V \subset C^{n}$ , denote by $M_{α} (V)$ the family of $α$ -analytic functions that obey a boundary maximum modulus principle. We prove that, on a bounde…

math.CV2014

A note on a conjecture concerning boundary uniqueness

Abtin Daghighi, Steven G. Krantz

We consider the following conjecture (from Huang, et al): Let $Δ^{+}$ denote the upper half disc in $C$ and let $γ = (- 1, 1)$ (viewed as an interval in the real axis in $\m…

Theory of Polyanalytic functions

On Radó's theorem for polyanalytic functions

An algebra of polyanalytic functions

Level sets of certain classes of α-analytic functions

A note on a conjecture concerning boundary uniqueness

Level sets of certain classes of $α$ -analytic functions