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Uniform approximation of a class of multivariable trigonometric interpolation polynomials in Euclidean space
triangle summation operator uniform convergence
2010/9/25
To improve the uniform convergence of the classical Lagrange operators of several variables, we construct a new operator with a class of summation factors. It is proved that the new operator converges...
A_2-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space
hypersurfaces non-negative sectional curvature Euclidean space
2010/11/11
In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem of surface theory. A...
Bi-Lipschitz Embeddability of the Grushin Plane into Euclidean Space
Bi-Lipschitz Embeddability the Grushin Plane Euclidean Space
2010/11/9
Many sub-Riemannian manifolds like the Heisenberg group do not admit bi- Lipschitz embedding into any Euclidean space. In contrast, the Grushin plane admits a bi-Lipschitz embedding into some Euclidea...