On the Poisson Equation on the Infinite Dimensional Torus

Alexander D. Bendikov and Igor V. Pavlov
Additional contact information
Alexander D. Bendikov: Rostov Civil Engineering Institute
Igor V. Pavlov: Rostov Civil Engineering Institute

A chapter in Potential Theory, 1988, pp 29-38 from Springer

Abstract: Abstract Let {μt}t>0 be the Wiener semigroup on the infinite dimensional torus T∞ (cf. Heyer,5 Ch. 5). Let us consider the Green measure $$G(dy) = \int\limits_0^\infty {e^{ - t} \mu _t (dy)dt}$$ .

Keywords: Banach Space; Gaussian Measure; Continuous Semigroup; Distribution Sense; Continuous Density (search for similar items in EconPapers)
Date: 1988
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0981-9_4

Ordering information: This item can be ordered from
http://www.springer.com/9781461309819

DOI: 10.1007/978-1-4613-0981-9_4

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().