Many issues in signal processing involve the inverses of Toeplitz matrices. One widely used technique is to replace Toeplitz matrices with their associated circulant matrices, based on the well-known fact that Toeplitz matrices asymptotically converge to their associated circulant matrices in the weak sense. This often leads to considerable simplification. However, it is well known that such a ...

A generalized version of Komll os' theorem 6], combined with a useful property of denting points in the style of 17, 22], gives a new, very eecient proof of Visintin's theorem and its generalizations 24, 2, 10, 21, 7], on equivalence of weak and strong convergence in L 1-spaces under denting point conditions.