Karima Kimouche1*, Abdelouahab Bibi2*
1Department of Mathematics, 20 aout 1955 University, Skikda,
Algeria
2Department of Mathematics, Mentouri University, Constantine,
Algeria
*For Correspondence
k.kimouche@gmail.com
Abd.bibi@mail.com
This work, deal a brief introduction
of multidimensional (M—) Fourier transform and its generalization. So, we give
the definition of such transformation and we establish their properties
enriched by several illustrative examples. Additionally, we give the intrinsic
properties of the generalized version as: M—windowed, M—fractional, M—linear
canonical transform, and M—quadratic-phase Fourier transforms.
Keywords
Multidimensional Fourier transforms, Windowed Fourier transform, Fractional Fourier transform, Linear canonical transform, Quadratic-phase Fourier transform
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