D. Alay'on-Solarz

collaborators

10 papers

math.CV2026

Moduli of the Sourceless Framed Beltrami-Vekua Normal Form

Daniel Alayón-Solarz

We study the moduli of sourceless framed Beltrami-Vekua equations under recombinations of the unknown, scalings, and orientation-preserving changes of variables. On every bounded s…

math.CV2026

The Pseudo-Analytic Charge

Daniel AlayÃ³n-Solarz

The framed Beltrami--Vekua equation $I^¦ (w_{z ˉ} - I^¼ w_{z}) + I^¨ (w_{z} - I^¼ w_{z ˉ}) + a w + b w ˉ = f$ , with $∣ I^¼∣ < 1$ and $…

math.CV2026

The Framed Beltrami-Vekua Normal Form and its Pseudo-Analytic Mass

Daniel AlayÃ³n-Solarz

We normalize a first-order real planar elliptic system, by pointwise algebra, to a framed Beltrami-Vekua equation $Î¦(w_{\bar z} - Î¼w_z) + Î¨(\overline{w_z} - Î¼\,\overline{w_{\ba…

math.CV2026

The complex form of Vekua's characteristic factor: a derivation, and two sign corrections in Â§7 of Generalized Analytic Functions

Daniel AlayÃ³n-Solarz

In \S7 of \emph{Generalized Analytic Functions} \cite{vekua}, the reduction of a first-order elliptic system to canonical form proceeds through a factor of the characteristic equat…

math.CV2026

The Absorption Theorem for the Beltrami-Vekua Normal Form

Daniel AlayÃ³n-Solarz

The Beltrami-Vekua normal form assigns to every smooth first-order real planar elliptic system a complex equation $w_{z ˉ} - I^¼ w_{z} + A w + B w ˉ = F$ by a…

math.CV2026

The Pseudo-Analytic Mass of a Beltrami-Vekua Equation

Daniel AlayÃ³n-Solarz

Every smooth first-order real planar elliptic system admits a universal complex form $w_{z ˉ} - I^¼ w_{z} + A w + B w ˉ = F$ , which we call the Belt…