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Differentiation Theory over Infinite-Dimensional Banach Spaces
Author
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-12-08
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We study, for any positive integer k and for any subset I of N⁎, the Banach space EI of the bounded real sequences xnn∈I and a measure over RI,B(I) that generalizes the k-dimensional Lebesgue one.
Moreover, we expose a differentiation theory for the functions defined over this space.
The main result of our paper is a change of variables’ formula for the integration of the measurable real functions on RI,B(I).
This change of variables is defined by some infinite-dimensional functions with properties that generalize the analogous ones of the standard finite-dimensional diffeomorphisms.
American Psychological Association (APA)
Asci, Claudio. 2016. Differentiation Theory over Infinite-Dimensional Banach Spaces. Journal of Mathematics،Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1108945
Modern Language Association (MLA)
Asci, Claudio. Differentiation Theory over Infinite-Dimensional Banach Spaces. Journal of Mathematics No. 2016 (2016), pp.1-16.
https://search.emarefa.net/detail/BIM-1108945
American Medical Association (AMA)
Asci, Claudio. Differentiation Theory over Infinite-Dimensional Banach Spaces. Journal of Mathematics. 2016. Vol. 2016, no. 2016, pp.1-16.
https://search.emarefa.net/detail/BIM-1108945
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1108945