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We prove the Holder continuity of a harmonic map from a domain of a sub-Riemannian manifold into a locally compact manifold with non-positive curvature, and more generally into a non-positively curved...
We consider nonlocal linear Schr¨odinger-type critical systems of the type 1/4v = v in IR. (1) where is antisymmetric potential in L2(IR, so(m)), v is a IRm valued map and v denotes the matrix mu...
We study two-parameter oscillator variations of the classical theorem on har-monic polynomials, associated with noncanonical oscillator representations of sl(n, F) and o(n, F).
For a domain D in Cz with smooth boundary and for a, b ∈ D, a 6= b, we have the circular (radial) slit mapping P(z)(Q(z)) on D such that P(z) − 1 z−a (Q(z) − 1 z−a ) is regular...
We observe that some special Itˆo diffusions are related to scattering properties of a Schr¨odinger operator on Rd, d  2. We introduce Feynman-Kac type formulae for these stochastic processes wh...

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