On the Nature of the Tsallis–Fourier Transform
نویسندگان
چکیده
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.
منابع مشابه
Interaction of Cisplatin with Cellular Macromolecules: A Fourier Transform Infrared Spectroscopy Study
Platinum is a metallic element, which may react with our cellular component through its involvement in cancer chemotherapy medications. Cisplatin is one of the most useful antineoplastic drugs against human ovarian carcinoma, which has the central element of platinum in its structure. The nature of chemical interaction between platinum and cellular macromolecules is yet to be understood. We exa...
متن کاملInteraction of Cisplatin with Cellular Macromolecules: A Fourier Transform Infrared Spectroscopy Study
Platinum is a metallic element, which may react with our cellular component through its involvement in cancer chemotherapy medications. Cisplatin is one of the most useful antineoplastic drugs against human ovarian carcinoma, which has the central element of platinum in its structure. The nature of chemical interaction between platinum and cellular macromolecules is yet to be understood. We exa...
متن کاملWavelet Transformation
Wavelet transformation is one of the most practical mathematical transformations in the field of image processing, especially image and signal processing. Depending on the nature of the multiresolution analysis, Wavelet transformation become more accessible and powerful tools. In this paper, we refer to the mathematical foundations of this transformation. Introduction: The...
متن کاملOn The Simulation of Partial Differential Equations Using the Hybrid of Fourier Transform and Homotopy Perturbation Method
In the present work, a hybrid of Fourier transform and homotopy perturbation method is developed for solving the non-homogeneous partial differential equations with variable coefficients. The Fourier transform is employed with combination of homotopy perturbation method (HPM), the so called Fourier transform homotopy perturbation method (FTHPM) to solve the partial differential equations. The c...
متن کاملFractional Fourier Transform Based OFDMA for Doubly Dispersive Channels
The performance of Orthogonal Frequency Division Multiple Access (OFDMA) system degrades significantly in doubly dispersive channels. This is due to the fact that exponential sub-carriers do not match the singular functions of this type of channels. To solve this problem, we develop a system whose sub-carriers are chirp functions. This is equivalent to exploiting Fractional Fourier Transform (F...
متن کامل