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A composite Fourier-wavelet transform and square-integrable group representations (1994)

Ali, S. Twareque ; Denisov, L. V.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 35 (1994), S. 4205-4216

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.530849

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