We introduce a multidimensional Kurzweil-Henstock integral for Riesz space-valued functions, and also develop the concepts of global continuity and global differentiability in this setting. We give some versions of the divergence theorems, we investigated the closed and exact (1)-forms associated with Riesz space-valued mappings. Furthermoore, we give some physical applications, considering some models of stationary heat conduction.
Multidimensional Differential Calculus in Riesz Spaces
BOCCUTO, Antonio
1998
Abstract
We introduce a multidimensional Kurzweil-Henstock integral for Riesz space-valued functions, and also develop the concepts of global continuity and global differentiability in this setting. We give some versions of the divergence theorems, we investigated the closed and exact (1)-forms associated with Riesz space-valued mappings. Furthermoore, we give some physical applications, considering some models of stationary heat conduction.File in questo prodotto:
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