The Quaternion Boostlet Transform combines quaternion algebra with boostlet systems to create a unified representation for vector wavefields, complete with admissibility conditions, Plancherel theorem, inversion formula, and uncertainty principles.
Hitzer, Quaternion Fourier transform on quaternion fields and generalizations,Advances in Applied Clifford Algebras, 27 (2) 1103–1125 (2017)
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The Quaternion Boostlet Transform: Definition, Properties and Uncertainty Principles
The Quaternion Boostlet Transform combines quaternion algebra with boostlet systems to create a unified representation for vector wavefields, complete with admissibility conditions, Plancherel theorem, inversion formula, and uncertainty principles.