One-Dimensional Quaternion Fourier Transform with Application to Probability Theory

One-Dimensional Quaternion Fourier Transform with Application to Probability Theory

The Fourier transform occupies a central place in applied mathematics, statistics, computer sciences, and engineering. In this work, we introduce the one-dimensional quaternion Fourier transform, which is a generalization of the Fourier transform. We derive the conjugate symmetry of the one-dimensio...

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Bibliographic Details
Main Authors: Wahyuni Ekasasmita, Mawardi Bahri, Nasrullah Bachtiar, Amran Rahim, Muhammad Nur
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Symmetry
Subjects:
quaternion Fourier transform
convolution
probability theory
quaternion characteristic function
Online Access:https://www.mdpi.com/2073-8994/15/4/815

Internet

https://www.mdpi.com/2073-8994/15/4/815

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