# Hilbert kernel

From Encyclopedia of Mathematics

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 , .

#### Comments

#### References

[a1] | B.L. Moiseiwitsch, "Integral equations" , Longman (1977) |

**How to Cite This Entry:**

Hilbert kernel.

*Encyclopedia of Mathematics.*URL: http://encyclopediaofmath.org/index.php?title=Hilbert_kernel&oldid=18062

This article was adapted from an original article by B.V. Khvedelidze (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article