Convergence Theorems for Generalized Functional Sequences of Discrete-Time Normal Martingales. (15th October 2015)

• Record Type: Journal Article
• Authors: Wang, Caishi; Chen, Jinshu
• Other Names: Chung Jaeyoung Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2015(2015)
• Publication Date: 2015-10-15
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2015/360679
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : The Fock transform recently introduced by the authors in a previous paper is applied to investigate convergence of generalized functional sequences of a discrete-time normal martingaleM . A necessary and sufficient condition in terms of the Fock transform is obtained for such a sequence to be strongly convergent. A type of generalized martingales associated withM is introduced and their convergence theorems are established. Some applications are also shown.