# Journal of the Ramanujan Mathematical Society

Volume 34, Issue 2, June 2019 pp. 185–190.

On a complex sequence of vanishing moments

**Authors**:
Manas R. Sahoo, Engu Satyanarayana and Abhrojyoti Sen

**Author institution:**School of Mathematical Sciences, National Institute of Science Education and Research, Bhubaneswar, HBNI, P. O. Jatni, Khurda 752 050, Odisha, India

**Summary: **
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.

Contents
Full-Text PDF