differentiation theory over infinite-dimensional banach spaces
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ID: 138384
2016
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Abstract
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.
| Reference Key |
asci2016journaldifferentiation
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|---|---|
| Authors | ;Claudio Asci |
| Journal | molecular imaging and radionuclide therapy |
| Year | 2016 |
| DOI |
10.1155/2016/2619087
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