In the paper we revisit some known remarkable formulas and their idempotent versions highlighting the role of functional spaces. More precisely, we focus on the space where the analogue of the Fourier transform takes place, the Legendre transform in min and the concave conjugate transform in max, then we give the analogues of some classical theorems. © 2013 EUCA.
On Fourier transform, Parseval equality, and the inversion formula in idempotent analysis / Antonio, Avantaggiati; Loreti, Paola. - (2013), pp. 2251-2256. (Intervento presentato al convegno European Control Conference (ECC) tenutosi a Zurich; Switzerland nel JUL 17-19, 2013).
On Fourier transform, Parseval equality, and the inversion formula in idempotent analysis
LORETI, Paola
2013
Abstract
In the paper we revisit some known remarkable formulas and their idempotent versions highlighting the role of functional spaces. More precisely, we focus on the space where the analogue of the Fourier transform takes place, the Legendre transform in min and the concave conjugate transform in max, then we give the analogues of some classical theorems. © 2013 EUCA.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
