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- W1558255556 abstract "Repeated convolution of a probability measure on leads to the central limit theorem and other limit theorems. This paper investigates what kinds of results remain without positivity. It reviews theorems due to Schoenberg, Greville, and Thomee which are motivated by applications to data smoothing (Schoenberg and Greville) and finite difference schemes (Thomee). Using Fourier transform arguments, we prove detailed decay bounds for convolution powers of finitely supported complex functions on . If M is an hermitian contraction, an estimate for the off-diagonal entries of the powers of is obtained. This generalizes the Carne–Varopoulos Markov chain estimate." @default.
- W1558255556 created "2016-06-24" @default.
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- W1558255556 date "2014-02-01" @default.
- W1558255556 modified "2023-10-16" @default.
- W1558255556 title "Convolution powers of complex functions on Z" @default.
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- W1558255556 doi "https://doi.org/10.1002/mana.201200163" @default.
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