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On the restriction of Zuckerman's derived functor modules A_q(λ) to reductive subgroups
unitary representation Zuckerman’s derived functor module branching law reductive group D-module flag variety
2011/9/6
Abstract: In this paper, we study the restriction of Zuckerman's derived functor (g,K)-modules A_q(\lambda) to g' for symmetric pairs of reductive Lie algebras (g,g'). When the restriction decomposes ...
Potential Theory on Almost Complex Manifolds
Potential Theory Almost Complex Manifolds Complex Variables
2011/9/5
Abstract: Pseudo-holomorphic curves on almost complex manifolds have been much more intensely studied than their "dual" objects, the plurisubharmonic functions. These functions are defined classically...
On some new theorems on multipliers in harmonic function spaces in higher dimension II
multipliers spaces of harmonic functions Bergman type mixed norm spaces spherical harmonics
2011/9/5
Abstract: We present new sharp assertions concerning multipliers in various spaces of harmonic functions in the unit ball of $R^n$.
Quasisymmetric graphs and Zygmund functions
Quasiconformal maps Zygmund functions generalized variation Complex Variables
2011/9/5
Abstract: A quasisymmetric graph is a curve whose projection onto a line is a quasisymmetric map. We show that this class of curves is related to solutions of the reduced Beltrami equation and to a ge...
Measures of finite pluricomplex energy
Complex Monge-Ampère operator energy classes Dirichlet problem plurisubharmonic function
2011/9/1
Abstract: In this note we study a complex Monge-Amp\`{e}re type equation of the form (dd^cu)^n = \frac {ke^{-u}dV}{\int e^{-u}dV}\.
The Lee-Yang and Pólya-Schur programs. III. Zero-preservers on Bargmann-Fock spaces
Laguerre–Polya class linear operators stable polynomials Lee–Yang theorem Bargmann–Fock space preservers zero distribution
2011/8/31
Abstract: We characterize linear operators preserving zero-restrictions on entire functions in weighted Bargmann-Fock spaces. The characterization extends previous results of J. Borcea and the author ...
The Szego kernel for certain non-pseudoconvex domains in C^2
The Szego kernel certain non-pseudoconvex domains Complex Variables
2011/8/30
Abstract: We consider the Szeg\"o kernel for domains \Omega in C^2 given by \Omega = {(z,w): Im w > b(Re z)} where b is a non-convex quartic polynomial with positive leading coefficient. Such domains ...
The Szego kernel for non-pseudoconvex tube domains in C^2
Szego kernel non-pseudoconvex domains Complex Variables
2011/8/31
Abstract: We consider the Szeg\"o kernel for non-pseudoconvex domains in C^2 given by \Omega = {(z,w): Im w > b(Re z)} for b a non-convex even-degree polynomial with positive leading coefficient. This...
A survey on hyperbolicity of projective hypersurfaces
hyperbolicity of projective hypersurfaces Algebraic Geometry Complex Variables
2011/8/26
Abstract: These are lecture notes of a course held at IMPA, Rio de Janiero, in september 2010: the purpose was to present recent results on Kobayashi hyperbolicity in complex geometry. Our ultimate go...
Some results on zeros distributions and uniqueness of derivatives of difference polynomials
Zeros difference polynomials derivatives value sharing uniqueness
2011/8/25
Abstract: We consider the zeros distributions on the derivatives of difference polynomials of meromorphic functions, and present some results which can be seen as the discrete analogues of Hayman conj...
Factorisation of conformal maps on finitely connected domains
Factorisation of conformal maps finitely connected domains Complex Variables
2011/8/24
Abstract: Let $U$ be a multiply connected domain of the Riemann sphere $\hat{C}$ whose complement $\hat{C}\setminus U$ has $N<\infty$ components. We show that every conformal map on $U$ can be written...
On a characterization of Arakelian sets
Uniform approximation in the complex domain Arakelian set simply connected open set
2011/8/23
Abstract: Let $K$ be a compact set in the complex plane $\C$, such that its complement in the Riemann sphere, $(\C\cup\{\infty\})\sm K$, is connected. Also, let $U\subseteq\C$ be an open set which con...
Abstract: By theorems of Ferguson and Lacey (d=2) and Lacey and Terwilleger (d>2), Nehari's theorem is known to hold on the polydisc D^d for d>1, i.e., if H_\psi is a bounded Hankel form on H^2(D^d) w...
A Bloch-Wigner complex for SL_2
K-theory Group Homology K-Theory and Homology Bloch-Wigner complex
2011/8/23
Abstract: We introduce a refinement of the Bloch-Wigner complex of a field F. This is a complex of modules over the multiplicative group of the field. Instead of computing K_2 and indecomposable K_3 -...
Acyclic embeddings of open Riemann surfaces into new examples of elliptic manifolds
Holomorphic embedding Riemann surface Oka manifold Stein manifold elliptic manifold affine manifold
2011/8/22
Abstract: The geometric notion of ellipticity for complex manifolds was introduced by Gromov in his seminal 1989 paper on the Oka principle, and is a sufficient condition for a manifold to be Oka. In ...