esc

Type at least two characters to start searching.

↑↓ select↵ openesc close

Share

Export Citation

APA
MLA
Chicago
Harvard
Vancouver
BIBTEX
RIS
Universitas Hasanuddin
Research output:Contribution to journal›Article›peer-review

Duality property of two-sided quaternion fourier transform

Bahri M.

International Conference on Wavelet Analysis and Pattern Recognition

Published: 2018Citations: 5

Abstract

An alternative proof of scalar Parseval's formula with respect to the two-sided quaternion Fourier transform is presented. It is shown that the inverse of the two-sided quaternion Fourier transform is continuous and bounded on ℝ2. The duality property of the two-sided quaternion Fourier transform is established. The alternative form of the Hausdorff-Young inequality associated with the two-sided quaternion Fourier transform is expressed.

Other files and links

Fingerprint

Parseval's theoremSciences
Fourier transformSciences
QuaternionSciences
MathematicsSciences
Discrete Fourier transform (general)Sciences
Fourier inversion theoremSciences
Pure mathematicsSciences
Fractional Fourier transformSciences
Discrete-time Fourier transformSciences
InverseSciences
Fourier analysisSciences
Mathematical analysisSciences
GeometrySciences