abstract 67

Bulletin of Computational Applied Mathematics (Bull CompAMa)

67

One-dimensional Quaternion Fourier Transform and Some Applications

Eusebio Ariza García, Claudia Jiménez Heredia, Carlos Chipantiza

The Fourier transform is a very useful tool in many areas. This transform has been defined in many contexts, as complex numbers, quaternions, and Clifford algebras. This paper deals with a one$-$dimensional Fourier Transform defined for quaternion-valued functions. Some of its fundamental properties are proved, particularly, the inversion formula, which will be use to prove another important inversion formula for a two$-$dimensional quaternion Fourier transform. Using this Fourier transform, we also solve a partial differential equation.

Keywords: Quaternions; one-dimensional Quaternion Fourier Transform; inversion formula.

Cite this paper:

Useche L., Perez Parray J., Garcia-Mendoza C., Chacon A.

Design of an imputation methodology by random selection using regression trees

Bull. Comput. Appl. Math. (Bull CompAMa)

Vol. 9, No.2, pp.125-149, 2021.