Integration over an Infinite-Dimensional Banach Space and Probabilistic Applications

Author

Asci, Claudio

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

Mathematics
Science

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