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 and Clifford Fourier Transforms,Chapman and Hall/CRC, (2021)
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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.