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A note on the Moment of Complex Wiener-Ito Integrals

2017/06/19 by Yong Chen, Chen, Yong, Guo Jiang +1
Mathematics · #60F05 #60H07 #Algebraic and Geometric Analysis #FOS: Mathematics #Mathematical Analysis and Transform Methods #Probability (math.PR) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.1706.06032

openalex publication_date 2017/06/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For a sequence of complex Wiener-Ito multiple integrals, the equivalence between the convergence of the symmetrized contraction norms and that of the non-symmetrized contraction norms is shown directly by means of a new version of complex Mallivian calculus using the Wirtinger derivatives of complex-valued functions.

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