## Characterization of boundary values of functions in Hardy spaces with applications in signal analysis.(English)Zbl 1086.30035

Let $$H(f)(t)$$ be the Hilbert transform of a function $$f$$ defined on the real line. The author characterizes triples of functions $$(\rho,c,s)$$ satisfying the equation $H(\rho (\cdot)c(\cdot))(t)=\rho (t)s(t), c^2+s^2=1, \rho (t)\geq 0.$

### MSC:

 30D55 $$H^p$$-classes (MSC2000)

### Keywords:

Hardy spaces; boundary values; Hilbert transform
Full Text:

### References:

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