Characterization Theorems for Generalized Functionals of Discrete-Time Normal Martingale

We aim at characterizing generalized functionals of discrete-time normal martingales. Let M=(Mn)n∈N be a discrete-time normal martingale that has the chaotic representation property. We first construct testing and generalized functionals of M with an appropriate orthonormal basis for M’s square inte...

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Bibliographic Details
Main Authors: Caishi Wang, Jinshu Chen
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/714745