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What is Fourier-Bessel Transform in Clifford Analysis about?

This document introduces the Fourier-Bessel transform, a new multi-dimensional integral transform within the framework of Clifford analysis. In two dimensions, the Fourier-Bessel transform coincides with previously introduced Clifford-Fourier and cylindrical Fourier transforms. The Fourier-Bessel transform satisfies operational formulae similar to the classical tensorial Fourier transform. Generalized Clifford-Hermite functions, which form an L2 basis, are eigenfunctions of the Fourier-Bessel transform.

Author

Leonardo Vitoria

Language

EN