Geodesic
Hermitian integral geometry
Andreas Bernig1 ; Joseph H. G. Fu2
1 Goethe-Universität Frankfurt<br/>Frankfurt<br/> Germany
2 University of Georgia<br/>Athens, GA
Annals of mathematics, Tome 173 (2011) no. 2, pp. 907-945.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We give in explicit form the principal kinematic formula for the action of the affine unitary group on $\mathbb{C}^n$, together with a straightforward algebraic method for computing the full array of unitary kinematic formulas, expressed in terms of certain convex valuations introduced, essentially, by H. Tasaki. We introduce also several other canonical bases for the algebra of unitary-invariant valuations, explore their interrelations, and characterize in these terms the cones of positive and monotone elements.
DOI : 10.4007/annals.2011.173.2.7

Andreas Bernig 1 ; Joseph H. G. Fu 2

1 Goethe-Universität Frankfurt<br/>Frankfurt<br/> Germany
2 University of Georgia<br/>Athens, GA 
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Andreas Bernig; Joseph H. G. Fu. Hermitian integral geometry. Annals of mathematics, Tome 173 (2011) no. 2, pp. 907-945. doi : 10.4007/annals.2011.173.2.7. http://geodesic.mathdoc.fr/articles/10.4007/annals.2011.173.2.7/

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