Infinite-dimensional bicomplex Hilbert spaces.
Infinite-dimensional hyperkähler manifolds associated with Hermitian-symmetric affine coadjoint orbits
In this paper, we construct a hyperkähler structure on the complexification of any Hermitian symmetric affine coadjoint orbit of a semi-simple -group of compact type, which is compatible with the complex symplectic form of Kirillov-Kostant-Souriau and restricts to the Kähler structure of . By a relevant identification of the complex orbit with the cotangent space of induced by Mostow’s decomposition theorem, this leads to the existence of a hyperkähler structure on compatible with...
Infinite-dimensional sets of constant width and their applications.
Sets of constant width appear as a curiosity in the context of finite-dimensional Euclidean spaces. These sets are convex bodies of such an space with the property that the distance between any two distinct parallel supporting hyperplanes is constant. The easiest example of a set of constant width which is not a ball is the so called Reuleaux triangle in the Euclidean plane. This is the intersection of three closed discs of radius r, whose centers are the vertices of an equilateral triangle of side...
Infinite-factorable holomorphic mappings on locally convex spaces.
Infinitely divisible cylindrical measures on Banach spaces
In this work infinitely divisible cylindrical probability measures on arbitrary Banach spaces are introduced. The class of infinitely divisible cylindrical probability measures is described in terms of their characteristics, a characterisation which is not known in general for infinitely divisible Radon measures on Banach spaces. Further properties of infinitely divisible cylindrical measures such as continuity are derived. Moreover, the classification result enables us to deduce new results on...
Infinitely divisible measures on the cone of an ordered locally convex vector spaces
Infinitely divisible probability measures and the converse Kolmogorov inequality in Banach spaces
Infinitely generated maximal ideals in uniform algebras and generalized-analytic sets
Infinitely many weak solutions for a non-homogeneous Neumann problem in Orlicz--Sobolev spaces
Under a suitable oscillatory behavior either at infinity or at zero of the nonlinear term, the existence of infinitely many weak solutions for a non-homogeneous Neumann problem, in an appropriate Orlicz--Sobolev setting, is proved. The technical approach is based on variational methods.
Infinitely narrow soliton solutions to systems of conservation laws.
Infrared catastrophe in a massless Feynman function
Infrared representations of free Bose fields
Inheritance properties of some classes of locally convex spaces
Inhomogeneous Gevrey ultradistributions and Cauchy problem
Inhomogenous Discrete Calderón Reproducing Formulas for Spaces of Homogenous Type.
Initial Morphisms and Monomorphisms.
Initial value Abelian theorems for the distributional Stieltjes transform
Initial value problems for elastoplastic and elasto-viscoplastic systems
Injections de Sobolev critiques, mesures microlocales et ondes non linéaires
Injections de Sobolev probabilistes et applications
On démontre dans cet article des versions probabilistes des injections de Sobolev sur une variété riemannienne compacte, . Plus précisément on démontre que pour des mesures de probabilité naturelles sur l’espace , presque toute fonction appartient à tous les espaces , . On donne ensuite des applications à l’étude des harmoniques sphériques sur la sphère : on démontre (encore pour des mesures de probabilité naturelles) que presque toute base hilbertienne de formée d’harmoniques sphériques...