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math.CV2026
Analytic Properties of Self-Reproducing Families under Contour Convolution
Gabriel Ben-Simon
This note grew out of two questions arising in different settings. The first concerns recognizing holomorphic functions among continuous functions on an annulus. The second concern…
math.CV2026
Cauchy-Type Convolution Integrals as the Starting Point for a First Encounter with Complex Analysis
Gabriel Ben-Simon
Alongside three established presentations of elementary complex analysis, we propose an approach centered on one organizing question: when is contour convolution well defined on ho…