2-Dimensional Quaternionic Fourier Transform and Applications

In this work, we define the Two-dimensional (left) Quaternion Fourier Transform (2D-QFT) of f ∈ L1 (R2; H), which is the function Fq{ f } : R2 → H defined by Fq{ f }(ω) = ̂ f (ω) =∫R2 e−μω·x f (x)d2x, where x = x1e1 + x2e2, ω = ω1e1 + ω2e2, with quaternion Fourier kernel e−μω·x such that |μ| = 1. We...

• Main Author: Chipantiza Punina, Carlos Javier (author)
• Format: bachelorThesis
• Language: eng
• Published: 2022
• Subjects: Cuaternión; Transformada de Fourier Cuaterniónica Bidi- mensional (izquierda); Ecuación de calor; Quaternion; Two-dimensional (left) Quaternion Fourier Trans- form; Heat equation.
• Online Access: http://repositorio.yachaytech.edu.ec/handle/123456789/521