One dimensional octonion Fourier Transform

Abstract:

The main purpose of this paper is to study a one dimensional octonion Fourier transform. We prove some of its properties, including the Plancherel's and Parseval's theorems and the inversion formula. Applying these properties we show an important inversion formula for a three dimensional octonion Fourier Transform.

Año de publicación:

2021

Keywords:

• Octonions
• Octonionic Fourier Transform
• Inversion Formula

Fuente:

scopus