Linear Complementary Inequalities for Orders of Germs of Analytic Functions.
Linear free divisors and the global logarithmic comparison theorem
A complex hypersurface in is a linear free divisor (LFD) if its module of logarithmic vector fields has a global basis of linear vector fields. We classify all LFDs for at most .By analogy with Grothendieck’s comparison theorem, we say that the global logarithmic comparison theorem (GLCT) holds for if the complex of global logarithmic differential forms computes the complex cohomology of . We develop a general criterion for the GLCT for LFDs and prove that it is fulfilled whenever the...
Linear holonomy groups of algebraic solutions of polynomial differential equations
We consider the problem of realization of a linear subgroup of as the linear holonomy group of an algebraic curve which is a leaf of a foliation of .
Linear isometries of finite codimensions on Banach algebras of holomorphic functions.
Linear systems on quasi-abelian varieties.
Linear topological properties of the Lumer-Smirnov class of the polydisc
Linear topological properties of the Lumer-Smirnov class of the unit polydisc are studied. The topological dual and the Fréchet envelope are described. It is proved that has a weak basis but it is nonseparable in its original topology. Moreover, it is shown that the Orlicz-Pettis theorem fails for .
Linéarisation de la notion de convexité par rapport à un ensemble de fonctions
Linearisierung formal-biholomorpher Abbildungen und Interationsprobleme.
Linearly invariant families of holomorphic functions in the unit polydisc
In this paper we extend the definition of the linearly invariant family and the definition of the universal linearly invariant family to higher dimensional case. We characterize these classes and give some of their properties. We also give a relationship of these families with the Bloch space.
Linearly invariant families of holomorphic mappings of a ball. The dimension reduction method.
Linear-uniforme Bündel auf Quadriken
Linking numbers and boundaries of varieties.
Links of surface singularities and CR space forms.
L'intégrale de Cauchy et les fonctions de plusieurs variables.
L'involutivité des caractéristiques des systèmes différentiels et microdifférentiels
Liouville type theorem for solutions of linear partial differential equations with constant coefficients
We discuss existence of global solutions of moderate growth to a linear partial differential equation with constant coefficients whose total symbol P(ξ) has the origin as its only real zero. It is well known that for such equations, global solutions tempered in the sense of Schwartz reduce to polynomials. This is a generalization of the classical Liouville theorem in the theory of functions. In our former work we showed that for infra-exponential growth the corresponding assertion is true if and...
Liouville's theorem for first-order partial differential operators
Liouville-type theorems for foliations with complex leaves
In this paper we discuss various problems regarding the structure of the foliation of some foliated submanifolds of , in particular Levi flat ones. As a general scheme, we suppose that is bounded along a coordinate (or a subset of coordinates), and prove that the complex leaves of its foliation are planes.
Lipschitz equisingularity [Book]
Lipschitz properties of semi-analytic sets
The existence of Lipschitz stratification, in the sense of Mostowski, for compact semi-analytic sets is proved. (This stratification ensures the constance of the Lipschitz type along each stratum). The proof is independent of the complex case, considered by Mostowski, and gives also some other Lipschitz properties of semi-analytic sets.