IJPAM: Volume 67, No. 4 (2011)
THE FOURIER TRANSFORM OF THE MULTIDIMENTIONAL
GENERALIZED GAUSSIAN DISTRIBUTION
GENERALIZED GAUSSIAN DISTRIBUTION
F. Dubeau
, S. El Mashoubi
Department of Mathematics
University of Sherbrooke
2500, Boul. Université, Sherbrooke (QC), J1K 2R1, CANADA
e-mail: [email protected]
e-mail: [email protected]



University of Sherbrooke
2500, Boul. Université, Sherbrooke (QC), J1K 2R1, CANADA


Abstract. We present expressions for the generalized Gaussian distribution in dimensions and compute their Fourier transforms. We obtain expressions in terms of Bessel functions and Maclaurin series.
Received: January 24, 2011
AMS Subject Classification: 42A16, 41A58
Key Words and Phrases: generalized Gaussian distribution, Fourier transform, characteristic function, Bessel function, Maclaurin series
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2011
Volume: 67
Issue: 4