A composite Fourier‐wavelet transform and square‐integrable group representations

A composite Fourier‐wavelet transform and square‐integrable group representations

A formula for a composite Fourier‐wavelet transform is suggested, from which the noncommutative Fourier and wavelet transforms can be obtained as particular examples, as well as several other Fourier‐type transforms. It is shown how this composite transform can be used to extend certain results, ori...

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Veröffentlicht in:Journal of mathematical physics 1994-08, Vol.35 (8), p.4205-4216
Hauptverfasser: Ali, S. Twareque, Denisov, L. V.
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Denisov, L. V.
description A formula for a composite Fourier‐wavelet transform is suggested, from which the noncommutative Fourier and wavelet transforms can be obtained as particular examples, as well as several other Fourier‐type transforms. It is shown how this composite transform can be used to extend certain results, originally obtained for square‐integrable group representations, to more general measures, arising in quantum probability theory.
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title A composite Fourier‐wavelet transform and square‐integrable group representations
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