A characterisation of the Weyl transform

R. Lakshmi Lavanya 1  and S. Thangavelu 2
  • 1 Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India
  • 2 Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India

Abstract.

A theorem of Alesker et al. says that the Fourier transform on n is essentially the only transform on the space of tempered distributions which interchanges convolutions and products. In this note we obtain a similar characterisation for the Weyl transform.

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