Product preserving functors of infinite-dimensional manifolds
The theory of product preserving functors and Weil functors is partly extended to infinite dimensional manifolds, using the theory of -algebras.
Reconstruction of manifolds and subsets of normed spaces from subgroups of their homeomorphism groups [Book]
Rigidity of integral curves of rank 2 distributions.
Smooth partitions of unity on some non-separable Banach spaces
Snakes and articulated arms in an Hilbert space
The purpose of this paper is to give an illustration of results on integrability of distributions and orbits of vector fields on Banach manifolds obtained in [5] and [4]. Using arguments and results of these papers, in the context of a separable Hilbert space, we give a generalization of a Theorem of accessibility contained in [3] and [6] for articulated arms and snakes in a finite dimensional Hilbert space.
Sur les endomorphismes polynomiaux permutables de
Dans cet article, nous déterminons tous les couples d’endomorphismes polynomiaux permutables de degrés supérieurs à 1 de qui se prolongent en des endomorphismes holomorphes de et qui possèdent deux suites d’itérés disjointes.
Symmetry and local conjugacy on complex manifolds.
The Bellaterra connection.
A new object is introduced - the "Fischer bundle". It is, formally speaking, an Hermitean bundle of infinite rank over a bounded symmetric domain whose fibers are Hilbert spaces whose elements can be realized as entire analytic functions square integrable with respect to a Gaussian measure ("Fischer spaces"). The definition was inspired by our previous work on the "Fock bundle". An even more general framework is indicated, which allows one to look upon the two concepts from a unified point of view....
The noncommutative Dirac equation for some wave functions.
Variétés de dimension infinie
Гомоклинические структуры в бесконечномерных системах
Пульверизация на банаховых многообразиях и некоторые их свойства