Article ID Journal Published Year Pages File Type
5496302 Physics Letters A 2017 5 Pages PDF
Abstract
We introduce a generalized representation of the Dirac delta function in d dimensions in terms of q-exponential functions. We apply this new representation to the study of the so-called q-Fourier transform and we establish the analytical procedure through which it can be inverted for any value of d. We finally illustrate the effect of the q-deformation on the Gibbs phenomenon of Fourier series expansions.
Keywords
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Preview
q-generalized representation of the d-dimensional Dirac delta and q-Fourier transform
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