Strata in the deformation of real isolated singularities are in general non contractible
Stratification de Whitney et théorème de Bertini-Sard.
Stratification of Real Analytic Mappings and Images.
Stratifications adapted to finite families of differential 1-forms (Pfaffian geometry - Part one).
A first part of a systematic presentation of Pfaffian geometry is given.
Stratifications distinguées comme outil en géometrie semi-analytique.
Stratifications et ensemble de non-cohérence d'un espace analytique rée.
Stratified Whitney jets and tempered ultradistributions on the subanalytic site
In this paper we introduce the sheaf of stratified Whitney jets of Gevrey order on the subanalytic site relative to a real analytic manifold . Then, we define stratified ultradistributions of Beurling and Roumieu type on . In the end, by means of stratified ultradistributions, we define tempered-stratified ultradistributions and we prove two results. First, if is a real surface, the tempered-stratified ultradistributions define a sheaf on the subanalytic site relative to . Second, the tempered-stratified...
Stratonovich-Weyl correspondence for discrete series representations
Let be a Hermitian symmetric space of the noncompact type and let be a discrete series representation of holomorphically induced from a unitary character of . Following an idea of Figueroa, Gracia-Bondìa and Vàrilly, we construct a Stratonovich-Weyl correspondence for the triple by a suitable modification of the Berezin calculus on . We extend the corresponding Berezin transform to a class of functions on which contains the Berezin symbol of for in the Lie algebra of . This allows...
Stratonovich-Weyl correspondence for the Jacobi group
We construct and study a Stratonovich-Weyl correspondence for the holomorphic representations of the Jacobi group.
Strengthened Moser’s conjecture, geometry of Grunsky coefficients and Fredholm eigenvalues
The Grunsky and Teichmüller norms ϰ(f) and k(f) of a holomorphic univalent function f in a finitely connected domain D ∋ ∞ with quasiconformal extension to are related by ϰ(f) ≤ k(f). In 1985, Jürgen Moser conjectured that any univalent function in the disk Δ* = z: |z| > 1 can be approximated locally uniformly by functions with ϰ(f) < k(f). This conjecture has been recently proved by R. Kühnau and the author. In this paper, we prove that approximation is possible in a stronger sense, namely,...
Strengthening pseudoconvexity of finite-dimensional Teichmüller spaces.
Strict continuous homomorphisms on spaces of bounded holomorphic functions.
Let HE∞ be the space of all bounded holomorphic functions on the unit ball of the Banach space E. In this note we study the algebra homomorphisms on HE∞ which are strict continuous.
Strict plurisubharmonicity of Bergman kernels on generalized annuli
Let be a family of generalized annuli over a domain U. We show that the logarithm of the Bergman kernel of is plurisubharmonic provided ρ ∈ PSH(U). It is remarkable that is non-pseudoconvex when the dimension of is larger than one. For standard annuli in ℂ, we obtain an interesting formula for , as well as its boundary behavior.
Strict positive definiteness on spheres via disk polynomials.
Strict uniformization of real algebraic curves and global real analytic coordinates on real Teichmüller spaces.
We construct a global system of real analytic coordinates on the real Teichmüller space of a compact real algebraic curve X, using so-called strict uniformization of the real algebraic curve X. A global coordinate system is then obtained via real quasiconformal deformations of the Kleinian subgroup of PGL2(R) obtained as a group of covering transformations of a strict uniformization of X.
Strictly pseudohyperbolic domains.
Strong bifurcation loci of full Hausdorff dimension
In the moduli space of degree rational maps, the bifurcation locus is the support of a closed positive current which is called the bifurcation current. This current gives rise to a measure whose support is the seat of strong bifurcations. Our main result says that has maximal Hausdorff dimension . As a consequence, the set of degree rational maps having distinct neutral cycles is dense in a set of full Hausdorff dimension.
Strong boundary values : independence of the defining function and spaces of test functions
The notion of “strong boundary values” was introduced by the authors in the local theory of hyperfunction boundary values (boundary values of functions with unrestricted growth, not necessarily solutions of a PDE). In this paper two points are clarified, at least in the global setting (compact boundaries): independence with respect to the defining function that defines the boundary, and the spaces of test functions to be used. The proofs rely crucially on simple results in spectral asymptotics.
Strong boundedness of analytic functions in tubes.
Strong Rigidity of Irreducible Quotients of Polydiscs of Finite Volume.