Spectral Theorem for Convex Monotone Homogeneous Maps, and Ergodic Control

SUMMARY - We extend the usual existence and uniqueness theorem for immer- sions into spaces of constant curvature to smooth mappings into affine homo-..

In the large class of Calabi- Yau manifolds, the complete intersections in toric manifolds or homogeneous spaces, this mirror s y m m e t r y prediction [7], [3],

Moreover, the fixed points set of a holo- morphic self-map of Bn is (generally) not reduced to one point, and there are couples of commuting holomorphic self-maps

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PICARD, Homogenization of nonlinear Dirichlet problem in a periodically perforated domain, Recent Advances in Nonlinear Elliptic and Parabolic Problems (Nancy,.

In [9] the authors extended the theory of fractional powers of non-negative operators, a classical topic in Banach spaces, to sequentially locally

Theorem 1 above shows that the proper holomorphic maps from the ball into a convex domain Q of higher dimension are a dense subset of the holomorphic maps from

Any contraction in Hilbert space can be interpolated at a .finite number of given points by means of a piecewise unitary