Polylinear Additive Functionals of Superprocesses

✍ Scribed by E.B. Dynkin

• Book ID: 102589432
• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 386 KB
• Volume: 148
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.1996.3075

✦ Synopsis

Let X be a superdiffusion in a domain E of R d . A polylinear additive functional of X corresponding to a positive Borel function \ is given by the formula

By a passage to the limit, we extend this definition to a certain class of generalized functions . More precisely, we associate an additive functional A & of (X t , P + ) with every measure & subject to the condition