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Hilbert kernel

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The kernel of the Hilbert singular integral, i.e. the function

The following simple relation holds between the Hilbert kernel and the Cauchy kernel in the case of the unit circle:

where , .


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References

[a1] B.L. Moiseiwitsch, "Integral equations" , Longman (1977)
How to Cite This Entry:
Hilbert kernel. B.V. Khvedelidze (originator), Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Hilbert_kernel&oldid=18062
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098