In this paper we construct a large class of new normal forms for Levi-nondegenerate real hypersurfaces in complex spaces. We adopt a general approach illustrating why these normal forms are natural and which role is played by the celebrated Chern-Moser normal form [CM74]. The latter appears in our class as the one with the ”maximum normalization” in the lowest degree. However, there are other n...

We consider the problem of identifying boundary values of holomorphic functions on (non-smooth) bounded domains in C 2 with boundaries that are Levi-at oo of a small set. Assuming also that the domain is circular, we construct a type of extension operator from the algebra of bounded holomorphic functions on a leaf of the induced Levi-foliation to the algebra of bounded holomorphic functions on ...

In this paper we prove the smoothness of solutions of a class of elliptic-parabolic nonlinear Levi type equations, represented as a sum of squares plus a vector field. By means of a freezing method the study of the operator is reduced to the analysis of a family Lξ0 of left invariant operators on a free nilpotent Lie group. The fundamental solution Γξ0 of the operator Lξ0 is used as a parametri...

We present the whole set of equations with regularity and matching conditions required for the description of physically meaningful static cylindrically symmmetric distributions of matter, smoothly matched to Levi-Civita vacuum spacetime. It is shown that the conformally flat solution with equal principal stresses represents an incompressible fluid. It is also proved that any conformally flat c...

A. Determined the exact structure of the asymptotic optimal solution value of the VRP with capacity and time window constraints and used it to develop a new and efficient algorithm. In Bramel and Simchi-Levi (1996) we have characterized the asymptotic optimal cost of the VRP with Capacity and Time Window constraints. This characterization enabled us to understand the algorithmic structure requi...

Abstract We consider a special class of unipotent periods for automorphic forms on finite cover reductive adelic group $$\mathbf {G}(\mathbb {A}_\mathbb {K})$$ G ( A K ) , which we refer to as Fou...