Symbolic calculus on the time-frequency half-plane

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Symbolic calculus on the time-frequency half-plane

The study concerns a special symbolic calculus of interest for signal analysis. This calculus associates functions on the time-frequency half-plane f > 0 with linear operators defined on the positive-frequency signals. Full attention is given to its construction which is entirely based on the study of the affine group in a simple and direct way. The correspondence rule is detailed and the assoc...

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ژورنال

عنوان ژورنال: Journal of Mathematical Physics

سال: 1998

ISSN: 0022-2488,1089-7658

DOI: 10.1063/1.532484