聖塔非研究所

q 矩消除了與 q 傅立葉變換反轉相關的簡併性

2011 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 It was recently proven (Hilhorst 2010 J. Stat. Mech. P10023) that the q generalization of the Fourier transform is not invertible in the full space of probability density functions for q …

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論文資訊

  • 類型:已發表論文
  • 日期:2011

摘要

It was recently proven (Hilhorst 2010 J. Stat. Mech. P10023) that the q-generalization of the Fourier transform is not invertible in the full space of probability density functions for q > 1. It has also been recently shown that this complication disappears if we dispose of the q-Fourier transform not only of the function itself, but also of all of its shifts (Jauregui and Tsallis 2011 Phys. Lett. A 375 2085). Here we show that another route exists for completely removing the degeneracy associated with the inversion of the q-Fourier transform of a given probability density function. Indeed, it is possible to determine this density if we dispose of some extra 資訊 related to its q-moments.

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