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Motion Groups and Absolutely Convergent Fourier Transforms
Published online by Cambridge University Press: 09 April 2009
Extract
According to an extension of a classical theorem of Bernstein, due to C. Herz, a function on Rn belonging to a Besov space of appropriate order has an absolutely convergent Fourier transform. We establish extensions of this result to Cartan motion groups, for Besov spaces defined with respect to both isotropic and non-isotropic differences.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 43 , Issue 3 , December 1987 , pp. 385 - 397
- Copyright
- Copyright © Australian Mathematical Society 1987
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