Bogdan Lucian Stan

Certified Real-Zero Fourier Approximations: Sharp cutoff constraints and validated finite Weil diagnostics

We study normalized finite Fourier constructions whose entire transforms have real zeros and a prescribed lattice tail. For support parameter L and truncation index N, the reciprocal-square mass of the forced zeros controls the Gaussian factor that survives in a limit. We characterize all reachable entire limits for a...