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Licensed Unlicensed Requires Authentication Published by De Gruyter January 19, 2012

A characterisation of the Weyl transform

  • R. Lakshmi Lavanya EMAIL logo and S. Thangavelu

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.

Received: 2011-06-29
Revised: 2011-09-24
Published Online: 2012-01-19
Published in Print: 2012-January

© 2012 by Walter de Gruyter Berlin Boston

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