2026
CLM-SIGNAL-003414= N_0 = 2BTEXACT VALUEThe cited theorem establishes N_0 = 2BT under the recorded model.Source: Prolate spheroidal wave functions, Fourier analysis and uncertainty—I — Shannon number time–bandwidth degrees of freedom ↗
PROVENApproximately 2BT eigenmodes are well concentrated in both a time interval of duration T and two-sided baseband bandwidth B.
The question, scope, and sources behind this Registry record.
Characterize leading-order count of near-one concentration eigenvalues for time limitation T and band limitation [-B,B] Hz.
Current frontiers derived from accepted Claims.
The accepted equality closes this optimization result.
Assertions tied to evidence, attribution, and review.
The frontier as it changed over time.
Only accepted Claims matching the current specification contribute to the displayed bounds. Strict inequalities remain open; contradictory Claims require editorial review.