g-Mellin变换

2018 IEEE 16th International Symposium on Intelligent Systems and Informatics (SISY) Pub Date : 2018-09-01 DOI:10.1109/SISY.2018.8524866

Nataša Duraković, T. Grbic, Sanja Rapajić, Slavica Medić, Sandra Buhmiler

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引用次数: 2

摘要

本文从伪分析的角度对Mellin积分变换进行了推广。给出了这类积分变换的基本性质，并给出了一个例子。定义了g- Mellin卷积和g- Mellin逆变换。给出了g- Mellin变换、g- Mellin卷积与g- Mellin逆变换、Mellin逆变换之间的联系，以及Mellin卷积与Mellin逆变换之间的联系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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g-Mellin Transform

One generalization of the Mellin integral transform in terms of pseudo-analysis is presented in the paper. Basic properties of this type of integral transform and one example are given. Both the g- Mellin convolution and the inverse g- Mellin transform are defined. The connections among the g- Mellin transform, the g- Mellin convolution and the inverse g- Mellin transform and the Mellin transform, as well as the connection between the Mellin convolution and the inverse Mellin transform are presented.

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来源期刊

2018 IEEE 16th International Symposium on Intelligent Systems and Informatics (SISY)

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