TY - JOUR
A2 - Gill, Tepper L
AU - Asci, Claudio
PY - 2016
DA - 2016/12/08
TI - Differentiation Theory over Infinite-Dimensional Banach Spaces
SP - 2619087
VL - 2016
AB - 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.
SN - 2314-4629
UR - https://doi.org/10.1155/2016/2619087
DO - 10.1155/2016/2619087
JF - Journal of Mathematics
PB - Hindawi Publishing Corporation
KW -
ER -