聖塔非研究所

傅立葉逆變換的 q-推廣

2011 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 A wide class of physical distributions appears to follow the q Gaussian form, which plays the role of 吸引子 according to a q generalized Central Limit Theorem, where a q generalized Fourier…

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論文資訊

  • 類型:已發表論文
  • 日期:2011

摘要

A wide class of physical distributions appears to follow the q-Gaussian form, which plays the role of 吸引子 according to a q-generalized Central Limit Theorem, where a q-generalized Fourier transform plays an important role. We introduce here a method which determines a distribution from the knowledge of its q-Fourier transform and some supplementary 資訊. This procedure involves a recently q-generalized representation of the Dirac delta and the class of functions on which it acts. The present method conveniently extends the inverse of the standard Fourier transform, and is therefore expected to be very useful in the study of many 複雜系統s.

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