Integration and homogeneous functions

Lasserre, Jean

doi:10.1090/S0002-9939-99-04930-8

Integration and homogeneous functions
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by Jean B. Lasserre PDF

Proc. Amer. Math. Soc. 127 (1999), 813-818 Request permission

Abstract:

We show that integrating a (positively) homogeneous function $f$ on a compact domain $\Omega \subset R^n$ reduces to integrating a related function on the boundary $\partial {\Omega }$. The formula simplifies when the boundary $\partial {\Omega }$ is determined by homogeneous functions. Similar results are also presented for integration of exponentials and logarithms of homogeneous functions.

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