2014/02/18 by Zhi-Ming Ma, Wei Sun, Ma, Zhi-Ming +4
Mathematics · #31C25 #60J25 #Analytic Number Theory Research #FOS: Mathematics #Holomorphic and Operator Theory #Probability (math.PR) #Spectral Theory in Mathematical Physics #math.PR #msc:31C25 #msc:60J25
paper · pdf · doi:10.48550/arxiv.1402.4341
arXiv admin note: text overlap with arXiv:1104.2951
arxiv created 2014/02/18 · openalex publication_date 2014/02/18 · arxiv updated 2014/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a Fukushima type decomposition in the setting of general quasi-regular semi-Dirichlet forms. The decomposition is then employed to give a transformation formula for martingale additive functionals. Applications of the results to some concrete examples of semi-Dirichlet forms are given at the end of the paper. We discuss also the uniqueness question about Doob-Meyer decomposition on optional sets of interval type.