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arxiv: 1602.08996 · v1 · pith:SGCHJH4Onew · submitted 2016-02-29 · 🧮 math.CA

The kernel of the generalized Clifford-Fourier transform and its generating function

classification 🧮 math.CA
keywords transformclifford-fourierfunctiongeneralizedgeneratingkernelboundscase
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In this paper, we study the generalized Clifford-Fourier transform introduced in [6] using the Laplace transform technique. We give explicit expressions in the even dimensional case, we obtain polynomial bounds for the kernel functions and establish a generating function.

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