On the nature of the Tsallis-Fourier transform (Q901432)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the nature of the Tsallis-Fourier transform |
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On the nature of the Tsallis-Fourier transform (English)
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12 January 2016
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Summary: By recourse to tempered ultradistributions, we show here that the effect of a \(q\)-Fourier transform (qFT) is to map equivalence classes of functions into other classes in a one-to-one fashion. This suggests that Tsallis' q-statistics may revolve around equivalence classes of distributions and not individual ones, as orthodox statistics does. We solve here the qFT's non-invertibility issue, but discover a problem that remains open.
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\(q\)-Fourier transform
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tempered ultradistributions
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