On Algebraicity of Global Real Analytic Sets and Functions
On approximating submanifolds by algebraic sets and a solution to the Nash conjecture.
On Equivalence of Ideals of Real Global Analytic Functions and the 17th Hilbert Problem.
On normalization of Nash varieties
On the extension of Nash functions.
On the group of real analytic diffeomorphisms
The group of real analytic diffeomorphisms of a real analytic manifold is a rich group. It is dense in the group of smooth diffeomorphisms. Herman showed that for the -dimensional torus, its identity component is a simple group. For fibered manifolds, for manifolds admitting special semi-free actions and for 2- or 3-dimensional manifolds with nontrivial actions, we show that the identity component of the group of real analytic diffeomorphisms is a perfect group.
On the Real Spectrum of a Ring of Global Analytic Functions
On the relative Nash approximation of analytic maps.
On the uniqueness of the analyticity of a proper G-action.