-Geometrie omogenee e uniformizzazione
Gabrielov's Rank Condition is Equivalent to an Inequality of Reduced Orders.
GAGA for DQ-algebroids
Galois theory of fuchsian q-difference equations
Gap orders of meromorphic functions on Riemann surfaces.
Gap Sequences and Moduli in Genus 4.
Gauge theoretical methods in the classification of non-Kählerian surfaces
The classification of class VII surfaces is a very difficult classical problem in complex geometry. It is considered by experts to be the most important gap in the Enriques-Kodaira classification table for complex surfaces. The standard conjecture concerning this problem states that any minimal class VII surface with b₂ > 0 has b₂ curves. By the results of [Ka1]-[Ka3], [Na1]-[Na3], [DOT], [OT] this conjecture (if true) would solve the classification problem completely. We explain a new approach...
Gauge-equivalent deformations of linear ordinary differential operators with constant coefficients.
Gauss-Manin connections of Schläfli type for hypersphere arrangements
The cohomological structure of hypersphere arragnements is given. The Gauss-Manin connections for related hypergeometrtic integrals are given in terms of invariant forms. They are used to get the explicit differential formula for the volume of a simplex whose faces are hyperspheres.
Gauss-Manin systems, Brieskorn lattices and Frobenius structures (I)
We associate to any convenient nondegenerate Laurent polynomial on the complex torus a canonical Frobenius-Saito structure on the base space of its universal unfolding. According to the method of K. Saito (primitive forms) and of M. Saito (good basis of the Gauss-Manin system), the main problem, which is solved in this article, is the analysis of the Gauss-Manin system of (or its universal unfolding) and of the corresponding Hodge theory.
GC-functions
General Cauchy formulas in
Generalised Magnus modules over the braid group.
Generalization of results about the Bohr radius for power series
The Bohr radius for power series of holomorphic functions mapping Reinhardt domains 𝓓 ⊂ ℂⁿ into a convex domain G ⊂ ℂ is independent of the domain G.
Generalizations of inequalities of Littlewood and Paley.
Generalized ABC theorems for non-Archimedean entire functions of several variables in arbitrary characteristic
Generalized Dirichlet series and -functions
Generalized Hardy spaces on tube domains over cones
We define a class of spaces , 0 < p < ∞, of holomorphic functions on the tube, with a norm of Hardy type: . We allow μ to be any quasi-invariant measure with respect to a group acting simply transitively on the cone. We show the existence of boundary limits for functions in , and when p ≥ 1, characterize the boundary values as the functions in satisfying the tangential CR equations. A careful description of the measures μ when their supports lie on the boundary of the cone is also provided....
Generalized Hermitean ultradistributions
In this paper we define, by duality methods, a space of ultradistributions . This space contains all tempered distributions and is closed under derivatives, complex translations and Fourier transform. Moreover, it contains some multipole series and all entire functions of order less than two. The method used to construct led us to a detailed study, presented at the beginning of the paper, of the duals of infinite dimensional locally convex spaces that are inductive limits of finite dimensional...
Generalized Hurwitz maps of the type S × V → W, anti-involutions, and quantum braided Clifford algebras
The notion of a -triple is studied in connection with a geometrical approach to the generalized Hurwitz problem for quadratic or bilinear forms. Some properties are obtained, generalizing those derived earlier by the present authors for the Hurwitz maps S × V → V. In particular, the dependence of each scalar product involved on the symmetry or antisymmetry is discussed as well as the configurations depending on various choices of the metric tensors of scalar products of the basis elements. Then...