A general formulation of Non-Local Dirichlet forms on infinite dimensional topological vector spaces and its applications, and corresponding subjects: Seminar at Univ. Lisboa,2023
Sergio Albeverio, Toshinao Kagawa, Shyuji Kawasaki, Yumi Yahagi,, Minoru W. Yoshida
TL;DR
This paper provides a comprehensive formulation of Non-Local Dirichlet forms on infinite-dimensional topological vector spaces, summarizing prior results and exploring their applications in infinite-dimensional analysis.
Contribution
It introduces a general framework for non-local Dirichlet forms in infinite dimensions, extending previous work and facilitating new applications in stochastic analysis.
Findings
Summarizes key results from previous studies on non-local forms
Establishes a unified formulation for infinite-dimensional non-local Dirichlet forms
Discusses potential applications in stochastic processes and analysis
Abstract
A concise explanations on the results given by Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces I, CMP 2021, by Sergio Albeverio, Minoru W. Yoshida, et.al., and Non-local Markovian Symmetric Forms on Infinite Dimensional Spaces Part 2, Potential Analysis 2022, by Sergio Albeverio, Minoru W. Yoshida, et.al.are given as a digestive fashion.
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Taxonomy
Topicsadvanced mathematical theories · Advanced Topics in Algebra · Advanced Banach Space Theory