On a complex sequence of vanishing moments

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2019

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Sahoo, M.R.
Satyanarayana, E.
Sen, A.

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This paper shows that vanishing of all moments of the complex sequence {zj} implies that {zj} is identically zero, provided {zj} is in lp,1 ? p < ?. This proof is different from one given by Priestley [Proc. Amer. Math. Soc. 116 (1992) 437 444] and shows an interesting connection of this problem with heat kernel. 2019 Ramanujan Mathematical Society. All rights reserved.

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Journal of the Ramanujan Mathematical Society, 2019, Vol.34, 2, pp.185-190

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