Invariants and Chebyshev polynomials

Uncertainty Principles for Eventually Constant Sign Bandlimited Functions

“…We note that the same statement is valid not only for positive definite functions but also for even functions with nonnegative Fourier transforms in a neighborhood of the origin. The positive definiteness of f d/2−1,m for m = 0, 1 was established by Yudin [39,41]. In the case m = 0, 1 Theorem 1.1 was proved in [20].…”