Abstract wiener measure and infinite dimensional potential theory

1970 ◽  
pp. 84-116 ◽  
Author(s):  
Leonard Gross
Keyword(s):  
Potential Theory ◽  
Wiener Measure ◽  
Infinite Dimensional

scholarly journals Potential theory of infinite dimensional Lévy processes

2011 ◽  
Vol 261 (10) ◽  
pp. 2845-2876 ◽  
Author(s):  
Lucian Beznea ◽  
Aurel Cornea ◽  
Michael Röckner
Keyword(s):  
Potential Theory ◽  
Lévy Processes ◽  
Levy Processes ◽  
Infinite Dimensional

Markov Processes Associated With Positivity Preserving Coercive Forms

1995 ◽  
Vol 47 (4) ◽  
pp. 817-840 ◽  
Author(s):  
Zhi-Ming Ma ◽  
Michael Röckner
Keyword(s):  
Potential Theory ◽  
Markov Processes ◽  
Special Standard ◽  
Positivity Preserving ◽  
State Spaces ◽  
Infinite Dimensional

AbstractCoercive closed forms on L2-spaces are studied whose associated L2-semigroups are positivity preserving. Earlier work by other authors is extended by further developing the potential theory of such forms and completed by proving an analytic characterization of those of these forms which have a probabilistic counterpart, i.e., are associated with (special standard) Markov processes. Examples with finite and infinite dimensional state spaces are discussed.

Infinite Dimensional Analysis

1994 ◽  
Author(s):  
Charalambos D. Aliprantis ◽  
Kim C. Border
Keyword(s):  
Dimensional Analysis ◽  
Infinite Dimensional ◽  
Infinite Dimensional Analysis
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