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Advances in Pure and Applied Mathematics

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A characterisation of the Weyl transform

R. Lakshmi Lavanya
  • Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India
  • Email:
/ S. Thangavelu
  • Department of Mathematics, Indian Institute of Science, Bangalore 560 012, India
  • Email:
Published Online: 2012-01-19 | DOI: https://doi.org/10.1515/apam.2011.015

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.

Keywords.: Schwartz class; tempered distributions; Weyl transform; Fourier–Weyl transform; noncommutative derivations

About the article

Received: 2011-06-29

Revised: 2011-09-24

Published Online: 2012-01-19

Published in Print: 2012-01-01


Citation Information: Advances in Pure and Applied Mathematics, ISSN (Online) 1869-6090, ISSN (Print) 1867-1152, DOI: https://doi.org/10.1515/apam.2011.015. Export Citation

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