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A characterisation of the Weyl transform
-
R. Lakshmi Lavanya
and
S. Thangavelu
Published/Copyright:
January 19, 2012
Abstract.
A theorem of Alesker et al. says that the Fourier transform on
Keywords.: Schwartz class; tempered distributions; Weyl transform; Fourier–Weyl transform; noncommutative derivations
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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Articles in the same Issue
- Prelims
- Warfield invariants of normed unit groups in abelian group rings
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- On generalized Laplace equation and nonlinear operators
- Steady state solutions to the conserved Kuramoto–Sivashinsky equation
- Variational analysis for an indefinite quasilinear problem with variable exponent
- A probabilistic counterpart of the Askey scheme for continuous polynomials
- A characterisation of the Weyl transform
Keywords for this article
Schwartz class;
tempered distributions;
Weyl transform;
Fourier–Weyl transform;
noncommutative derivations
Articles in the same Issue
- Prelims
- Warfield invariants of normed unit groups in abelian group rings
- Opdam's hypergeometric functions: product formula and convolution structure in dimension 1
- On generalized Laplace equation and nonlinear operators
- Steady state solutions to the conserved Kuramoto–Sivashinsky equation
- Variational analysis for an indefinite quasilinear problem with variable exponent
- A probabilistic counterpart of the Askey scheme for continuous polynomials
- A characterisation of the Weyl transform
