Abstract
We show that the property of being a (weakly) admissible mesh for multivariate polynomials is preserved by small perturbations on real and complex Markov compacts. Applications are given to smooth transformations of polynomial meshes and to polynomial interpolation.
Acknowledgements
The authors thank Len Bos and Jean-Paul Calvi for some helpful discussions and suggestions. This research was supported by the ‘ex-60%’ funds and by the project ‘Interpolation and Extrapolation: new algorithms and applications’ of the University of Padova, and by the INdAM GNCS.