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The Legendre transformation in differential spaces. (English) Zbl 0793.58005
Bureš, J. (ed.) et al., The proceedings of the 11th winter school on geometry and physics held in Srní, Czechoslovakia, January 5-12, 1991. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 30, 35-46 (1993).
The Legendre transformations on differential spaces (in the sense of Sikorski) is studied, and some properties for spaces with singularities are investigated. A mechanical interpretation of the Legendre transformation is also given.
For the entire collection see [Zbl 0777.00026].
58A40 Differential spaces
44A15 Special integral transforms (Legendre, Hilbert, etc.)