New characterizations of Bergman spaces.
New examples of effective formulas for holomorphically contractible functions
Let and be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.
New examples of non-locally embeddable structures (with no non-constant distributions)
We construct examples of non-locally embeddable structures. These examples may show some improvement on previous examples by Nirenberg, and Jacobowitz and Trèves. They are based on a simple construction which consists in gluing two embedded structures. And (this is our main point) we believe that these examples are very transparent, therefore easy to work with.
New representation of the non-symmetric homogeneous bounded domains in and .
Newton numbers and residual measures of plurisubharmonic functions
We study the masses charged by at isolated singularity points of plurisubharmonic functions u. This is done by means of the local indicators of plurisubharmonic functions introduced in [15]. As a consequence, bounds for the masses are obtained in terms of the directional Lelong numbers of u, and the notion of the Newton number for a holomorphic mapping is extended to arbitrary plurisubharmonic functions. We also describe the local indicator of u as the logarithmic tangent to u.
Newton polygons and the Łojasiewicz exponent of a holomorphic mapping of
Nicht endlich erzeugte Primideale in Steinschen Algebren.
Nicht-ausgeartete reguläre Überlagerungen.
Nielsen's theorem and the super-Teichmüller space
Nodal deformations of singularities.
In this note we study deformations of a plane curve singularity (C,P) toδ(C,P) nodes. We see that for some types of singularities the method of A'Campo can be carried on using parametric equations. For such singularities we prove that deformations to δ nodes can be made within the space of curves of the same degree.
Noethérianité de certaines algèbres de fonctions analytiques et applications
Let be a real-analytic submanifold and H(M) the algebra of real analytic functions on M. If K ⊂ M is a compact subset we consider ; is a multiplicative subset of . Let be the localization of H(M) with respect to . In this paper we prove, first, that is a regular ring (hence noetherian) and use this result in two situations: 1) For each open subset , we denote by O(Ω) the subalgebra of H(Ω) defined as follows: f ∈ O(Ω) if and only if for all x ∈ Ω, the germ of f at x, , is algebraic...
Noguchi-type convergence-extension theorems for (n,d)-sets
We introduce the notion of (n,d)-sets and show several Noguchi-type convergence-extension theorems for (n,d)-sets.
Non compact boundaries of complex analytic varieties in Hilbert spaces
We treat the boundary problem for complex varieties with isolated singularities, of complex dimension greater than or equal to 3, non necessarily compact, which are contained in strongly convex, open subsets of a complex Hilbert space H.We deal with the problem by cutting with a family of complex hyperplanes and applying the already known result for the compact case.
Non completely solvable systems of complex first order PDEs
Non embeddable CR-structures
Non oscillating solutions of analytic gradient vector fields
Let be an integral solution of an analytic real vector field defined in a neighbordhood of . Suppose that has a single limit point, . We say that is non oscillating if, for any analytic surface , either is contained in or cuts only finitely many times. In this paper we give a sufficient condition for to be non oscillating. It is established in terms of the existence of “generalized iterated tangents”, i.e. the existence of a single limit point for any transform property for...
Nonadmissible convergence in symmetric spaces.
Non-analytic Hypersurfaces in Cn.
Non-Archimedean analytic curves in Abelian varieties.
Non-archimedean complex powers and eigenvalues of monodromy