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math.GM2026
Zero Harmonic Density implies Zero Density
Rafael Reno S. Cantuba
A set of integers has zero harmonic density if its elements, viewed as frequencies of continuous characters of the unit circle as a compact group, are measure-theoretically sparse…
math.GM2026
Extension Theorems in Measure and Integration Theory as Completeness Axioms
Rafael Reno S. Cantuba
In measure and integration theory, the themes of extending premeasures to outer measures and extending Daniell linear functionals to Daniell integrals are governed by the foundatio…