The Hahn-Banach Theorem and a Class of Non-Locally Convex Spaces.
Zero Estimates for Polynomials Over Commutative Rings.
The tame fundamental group of an abelian variety and integral points
Artin Approximation and Formal Fibres of Local Rings.
The density of rational and integral points on algebraic varieties
The calculus of operator functions and operator convexity
The paper is concerned with the Fréchet differentiability and operator convexity of the operator functions on sets of self-adjoint operators on finite-dimensional inner product spaces which are associated with real-valued functions of one or two variables. In Part I it is shown that if a real-valued function is L times continuously differentiable then the associated operator functions are L times Fréchet differentiable with continuous Fréchet derivatives. It is shown that the operator functions...
Problems with defining barycentric coordinates for the sphere
A Note on a Problem of D. Pompeiu.
Spectral synthesis and the Pompeiu problem
It is shown that every closed rotation and translation invariant subspace of or , , is of spectral synthesis, i.e. is spanned by the polynomial-exponential functions it contains. It is a classical problem to find those measures of compact support on with the following property: (P) The only function satisfying for all rigid motions of is the zero function. As an application of the above result a characterization of such measures is obtained in terms of their Fourier-Laplace transforms....
Inbuilt mechanisms for overcoming functional problems inherent in hepatic microlobular structure.
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