IJPAM: Volume 66, No. 4 (2011)
A NEW FRACTIONAL FOURIER TRANSFORM AND
CONVOLUTION PRODUCTS
CONVOLUTION PRODUCTS
Luis Guillermo Romero
, Rubén Alejandro Cerutti
,
Luciano Leonardo Luque
Faculty of Exact Sciences
National University of Nordeste
Avda. Libertad 5540, Corrientes, 3400, ARGENTINA
e-mail: rcerutti@exa.unne.edu.ar


Luciano Leonardo Luque


National University of Nordeste
Avda. Libertad 5540, Corrientes, 3400, ARGENTINA

Abstract.In this short paper we introduce a new definition of the Fractional
Fourier transform of order , , of a function wich belongs
to the Lizorkin space of functions. The simplicity of their
definition allows us to deal with a novel convolution product due by
Miana [5] and with the Weyl fractional calculus. We also present an
inversion formulae.
Received: September 10, 2010
AMS Subject Classification: 26A33, 42A38
Key Words and Phrases: fractional Fourier transform, convolution products, fractional operator
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 66
Issue: 4