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It is shown that every closed rotation and translation invariant subspace $V$ of $C (R^{n})$ or $δ (R^{n})$ , $n \geq 2$ , is of spectral synthesis, i.e. $V$ is spanned by the polynomial-exponential functions it contains. It is a classical problem to find those measures $μ$ of compact support on $R^{2}$ with the following property: (P) The only function $f \in C (R^{2})$ satisfying $\int_{R^{2}} f \circ σ d μ = 0$ for all rigid motions $σ$ of $R^{2}$ 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....

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Solution de la question 1570, proposée par M. Rouché

Some Functional Inequalities.

Some inverse mapping theorems

Some versions of limit and Dieudonné-type theorems with respect to filter convergence for (ℓ)-group-valued measures

Spectral synthesis and the Pompeiu problem

Sur les arcs de certaines courbes sphériques

Sur quelques théorèmes fondamentaux de l'algèbre moderne

Sur une propriété des déterminants fonctionnels et son application au développement des fonctions implicites.

Currently displaying 1 – 8 of 8