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Integration over an Infinite-Dimensional Banach Space and Probabilistic Applications
Author
Source
International Journal of Analysis
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-15
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study, for some subsets I of N*, the Banach space E of bounded real sequences {xn}n∈I.
For any integer k, we introduce a measure over (E,B(E)) that generalizes the k-dimensional Lebesgue measure; consequently, also a theory of integration is defined.
The main result of our paper is a change of variables' formula for the integration.
American Psychological Association (APA)
Asci, Claudio. 2014. Integration over an Infinite-Dimensional Banach Space and Probabilistic Applications. International Journal of Analysis،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-469359
Modern Language Association (MLA)
Asci, Claudio. Integration over an Infinite-Dimensional Banach Space and Probabilistic Applications. International Journal of Analysis No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-469359
American Medical Association (AMA)
Asci, Claudio. Integration over an Infinite-Dimensional Banach Space and Probabilistic Applications. International Journal of Analysis. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-469359
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469359