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Quaternion and Clifford Fourier Transforms and Wavelets

Quaternion and Clifford Fourier Transforms and Wavelets

The two-sided quaternionic Fourier transformation (QFT) was introduced in [2] for the analysis of 2D linear time-invariant partialdifferential systems.In further theoretical investigations [4, 5] a special split of quaternions was introduced, then called ±split.In the current chapter we analyze this split further, interpret it geometrically as an orthogonal 2D planes …