$τ_q$ -傅立叶变换：协方差和唯一性
The $τ_q$-Fourier transform: covariance and uniqueness
摘要：
我们提出了另一种定义Tsallis熵组合启发的傅立叶变换，我们称之为“$τ_q$ -傅立叶变换”。我们评论的基本“协方差”的代数领域，激发其引进。我们看到，$τ_q$ -傅立叶变换的定义在适当的上下文中是自动可逆的。基于傅立叶分析中的最新结果，在函数的逐点乘积与其卷积交换的假设下，$τ_q$ -傅立叶变换本质上是唯一的。
英文摘要：
We propose an alternative definition for a Tsallis entropy composition-inspired Fourier transform, which we call "$τ_q$-Fourier transform". We comment about the underlying "covariance" on the set of algebraic fields that motivates its introduction. We see that the definition of the $τ_q$-Fourier transform is automatically invertible in the proper context. Based on recent results in Fourier analysis, it turns that the $τ_q$-Fourier transform is essentially unique under the assumption of the exchange of the point-wise product of functions with their convolution.
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