Title :
On fourier transform, parseval equality, and the inversion formula in idempotent analysis
Author :
Avantaggiati, Antonio ; Loreti, Pierpaolo
Author_Institution :
Dipt. di Sci. di Base e Applicate per l´Ing., Sapienza Univ. di Roma, Rome, Italy
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 ℝmin and the concave conjugate transform in ℝmax, then we give the analogues of some classical theorems.
Keywords :
Fourier transforms; Fourier transform; Legendre transform; Parseval equality; concave conjugate transform; functional spaces; idempotent analysis; inversion formula; Convex functions; Convolution; Electronic mail; Europe; Fourier transforms; Vectors;
Conference_Titel :
Control Conference (ECC), 2013 European
Conference_Location :
Zurich
