An embedding of Schwartz distributions in the algebra of asymptotic functions.
An expression of classical dynamics
Analytic functions over valued fields.
Annulation de T-filtres par des fonctions croulantes
Applications of the -adic Nevanlinna theory to functional equations
Let be an algebraically closed field of characteristic zero, complete for an ultrametric absolute value. We apply the -adic Nevanlinna theory to functional equations of the form , where , are meromorphic functions in , or in an “open disk”, satisfying conditions on the order of its zeros and poles. In various cases we show that and must be constant when they are meromorphic in all , or they must be quotients of bounded functions when they are meromorphic in an “open disk”. In particular,...
AQCQ-functional equation in non-Archimedean normed spaces.
Arithmetic aspect of operator algebras
Automorphismes et dérivations de «petites normes» sur un corps value non archimédien
Besov spaces on local fields
Best approximants from non-archimedean Stone-Weierstrass subspaces
Biequivalence vector spaces in the alternative set theory
As a counterpart to classical topological vector spaces in the alternative set theory, biequivalence vector spaces (over the field of all rational numbers) are introduced and their basic properties are listed. A methodological consequence opening a new view towards the relationship between the algebraic and topological dual is quoted. The existence of various types of valuations on a biequivalence vector space inducing its biequivalence is proved. Normability is characterized in terms of total...
Bounded linear operators in probabilistic normed space.
Bounded operators on non-Archimedian orthomodular spaces
Brisure de symétrie spontanée et géométrie du point de vue spectral
-algebras of operators in non-archimedean Hilbert spaces
We show several examples of n.av̇alued fields with involution. Then, by means of a field of this kind, we introduce “n.aḢilbert spaces” in which the norm comes from a certain hermitian sesquilinear form. We study these spaces and the algebra of bounded operators which are defined on them and have an adjoint. Essential differences with respect to the usual case are observed.
Cartesian products of -spaces.
Characteristic matrix functions on Wachs spaces, I. (Livsits definition).
Characteristic operator functions on Wachs spaces.
Characterizations of elements of best approximation in non-Archimedean normed spaces
Coefficients constants d'un produit croulant