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math.SP2026
Transmutation operators for the Sturm--Liouville equation in impedance form with an integrable potential
Briceyda B. Delgado, F. Ayça Çetinkaya
In this work, we study a family of transmutation operators for the Sturm--Liouville operator in impedance form with an integrable potential satisfying a smallness condition. Specif…
math.AP2026
A biquaternionic reformulation of Maxwell's equations via Fourier analysis
Aarón Guillén-Villalobos, Briceyda B. Delgado, Héctor Vargas Rodríguez
We analyze the parabolic Dirac operator in a biquaternionic setting, characterizing its kernel via generalized div-curl systems and Cauchy-Riemann-type relation…
math.AP2026
Calderón's inverse problem via Vekua theory
Briceyda B. Delgado
In this work, we will prove a uniqueness result for Calderón's inverse problem via some integral representation formulas for solutions of the Vekua equation in the framework of Cli…