Abstract
We give in explicit form the principal kinematic formula for the action of the ane unitary group on 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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have