DocumentCode
646152
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
fYear
2013
fDate
17-19 July 2013
Firstpage
2251
Lastpage
2256
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2013 European
Conference_Location
Zurich
Type
conf
Filename
6669558
Link To Document