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Reducing scattering problems under cone potentials to normal form by global canonical transformations
scattering problems cone normal form global canonical transformations Exactly Solvable and Integrable Systems
2012/4/26
We introduce a class of Hamiltonian scattering systems which can be reduced to the "normal form" $\dot P=0$, $\dot Q=P$, by means of a global canonical transformation $ (P,Q)=A(p,q), p,q\in R^n$, defi...
We establish the canonical class inequality for families of higher dimensional projective manifolds. As an application, we get a new inequality between the Chern numbers of 3-folds with smooth familie...
Curvature invariants and Generalized Canonical operator models
Cowen-Douglas class Sz.-Nagy-Foias model operator curvature
2010/12/8
There are two models for contraction operators on reproducing kernel Hilbert spaces, that of Sz.-Nagy-Foias introduced in the sixties and the later one from the late seven-ties due to M. Cowen and the...