Arc-analytic functions.
Arc-analyticity and polynomial arcs
We relate the notion of arc-analyticity and the one of analyticity on restriction to polynomial arcs and we prove that in the subanalytic setting, these two notions coincide.
Are the Isolated Singularities of Complete Intersections Determined by Their Singular Subspaces?
Area differences under analytic maps and operators
Motivated by the relationship between the area of the image of the unit disk under a holomorphic mapping and that of , we study various norms for , where is the Toeplitz operator with symbol . In Theorem , given polynomials and we find a symbol such that . We extend some of our results to the polydisc.
Areas of Projections of Analytic Sets.
Arithmetic capacities on IP N.
Arithmetic Monodromy Groups.
Arithmetic vector bundles and automorphic forms on Shimura vartieties. I.
Arithmetic vector bundles and automorphic forms on Shimura varieties, II
Arithmetische Eigenschaften ganzer Funktionen mehrerer Variablen.
Around the intersection form of an isolated singularity of hypersurface
Arrangement of hyperplanes. I. Rational functions and Jeffrey-Kirwan residue
Arrangements and Milnor fibres.
Artin-Gruppen und Coxeter-Gruppen.
Artin-Large property for analytic manifolds of dimension two.
Aspects of non-commutative function theory
We discuss non commutative functions, which naturally arise when dealing with functions of more than one matrix variable.
Associated weights and spaces of holomorphic functions
When treating spaces of holomorphic functions with growth conditions, one is led to introduce associated weights. In our main theorem we characterize, in terms of the sequence of associated weights, several properties of weighted (LB)-spaces of holomorphic functions on an open subset which play an important role in the projective description problem. A number of relevant examples are provided, and a “new projective description problem” is posed. The proof of our main result can also serve to characterize...
Asymptotic behavior of Fourier-Laplace transform
Asymptotic behavior of the sectional curvature of the Bergman metric for annuli
We extend and simplify results of [Din 2010] where the asymptotic behavior of the holomorphic sectional curvature of the Bergman metric in annuli is studied. Similarly to [Din 2010] the description enables us to construct an infinitely connected planar domain (in our paper it is a Zalcman type domain) for which the supremum of the holomorphic sectional curvature is two, whereas its infimum is equal to -∞ .
Asymptotic behaviors of complex analytic dynamical systems.