Search
Search Results
-
A Montel-Type Theorem for Hardy Spaces of Holomorphic Functions
We give a version of the Montel theorem for Hardy spaces of holomorphic functions on an infinite dimensional space. Precisely, we show that any...
-
Approximation of Holomorphic Functions by Cesàro Means
For the Lipschitz class of functions holomorphic in the disc, we present a constructive characteristic of this class in terms of the Cesàro means of...
-
The Nonlinear Boundary Value Problem for k Holomorphic Functions in ℂ2
k holomorphic functions are a type of generation of holomorphic functions. In this paper, a nonlinear boundary value problem for k holomorphic...
-
Asymptotically holomorphic theory for symplectic orbifolds
We extend Donaldson’s asymptotically holomorphic techniques to symplectic orbifolds. More precisely, given a compact symplectic orbifold such that...
-
Examples of Complete Kähler Metrics with Nonnegative Holomorphic Sectional Curvature
In this paper, we consider complete noncompact Kähler metrics with nonnegative holomorphic sectional curvature. In particular, we prove some results...
-
Holomorphic Spectral Theory: A Geometric Approach
The paper introduces geometric, analytic, and operator theoretic concepts in holomorphic spectral theory, the part of spectral theory developed by...
-
Second Order Differential Operators Associated to the Space of Holomorphic Functions
Let \(\mathcal {F}\) be a given...
-
Optimal approximation of infinite-dimensional holomorphic functions
Over the several decades, approximating functions in infinite dimensions from samples has gained increasing attention in computational science and...
-
A note on holomorphic generalized eta quotient
For fixed positive integers k and N , there are only finitely many holomorphic eta quotients of weight k for the congruence subgroup...
-
Spaces of Holomorphic and Differentiable Functions and Operators Between Them
In this chapter, spaces of holomorphic functions and of infinitely differentiable functions are defined and studied. Their locally convex structure...
-
Difference analogues of the second main theorem for holomorphic curves and arbitrary families of hypersurfaces in projective varieties
Our goal in this paper is to establish some difference analogue of second main theorems for holomorphic curves into projective varieties intersecting...
-
Hyper-holomorphic connections on vector bundles on hyper-Kähler manifolds
We study infinitesimal deformations of autodual and hyper-holomorphic connections on complex vector bundles on hyper-Kähler manifolds of arbitrary...
-
-
On the Singularities of Complete Holomorphic Vector Fields in Dimension Two
For a germ of singular holomorphic vector field on a complex manifold to be the local model of a complete one, it is necessary for its solutions to...