"Theory of Duality" (KMMF) Seminar
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2026-04-23 (Thursday)
Haipan Shi (Huzhou University)
Differential Formula and Uncertainty principles of the Clifford-Fourier transform
The Clifford analysis extends the theory of complex variable functions to high-dimensional spaces, which mainly studies the properties of functions defined on R^n with values in Clifford algebra Cl{0,n}. More precisely, the quaternion algebra H is isomorphic to the Clifford algebra Cl_{0,2}.I will present the differential formulas and the uncertainty principles of the quaternion fractional Fourier transform, the Clifford-Fourier transform, and the fractional Clifford-Fourier transform.


