Browsing by MSC "30"
Now showing items 120 of 26

1014  Arbeitsgemeinschaft: Mathematical Billards
[OWR201017] (2010)  (04 Apr  10 Apr 2010)The workshop Mathematical Billiards, organised by Serge Tabachnikov (Penn State) and Serge Troubetzkoy (Marseille) was held April 4th–April 10th, 2010. This meeting was well attended by over 40 participants including a ... 
1123  Arithmetic Groups vs. Mapping Class Groups: Similarities, Analogies and Differences
[OWR201130] (2011)  (05 Jun  11 Jun 2011)Arithmetic groups arise naturally in many fields such as number theory, algebraic geometry, and analysis. Mapping class groups arise in both low dimensional topology and geometric group theory. They have been studied ... 
1119  Billiards, Flat Surfaces, and Dynamics on Moduli Spaces
[OWR201125] (2011)  (08 May  14 May 2011)This workshop brought together people working on the dynamics of various flows on moduli spaces, in particular the action of SL$_2(\mathbb R)$ on flat surfaces. The new results presented covered properties of interval ... 
Dirichlet Approximation and Universal Dirichlet
[OWP201612] (Mathematisches Forschungsinstitut Oberwolfach, 20160816)We characterize the uniform limits of Dirichlet polynomials on a right half plane. We extend the approximation theorems of Runge, Mergelyan and Vitushkin to the Dirichlet setting with respect to the Euclidean distance and ... 
1406b  Dirichlet Series and Function Theory in Polydiscs
[OWR20146] (2014)  (02 Feb  08 Feb 2014)The interaction between Dirichlet series and function theory in polydiscs dates back to a fundamental insight of Harald Bohr and the subsequent groundbreaking work on multilinear forms and polarization by Bohnenblust and ... 
1413  Flat Surfaces and Dynamics on Moduli Space
[OWR201415] (2014)  (23 Mar  29 Mar 2014)Dynamics of the Teichmüller geodesic flow on the moduli space of curves and asymptotic monodromy of the Hodge bundle along this flow have numerous applications to dynamics and geometry of measured foliations, to billiards ... 
A Function Algebra Providing New Mergelyan Type Theorems in Several Complex Variables
[OWP201902] (Mathematisches Forschungsinstitut Oberwolfach, 20190211)For compact sets $K\subset \mathbb C^{d}$, we introduce a subalgebra $A_{D}(K)$ of $A(K)$, which allows us to obtain Mergelyan type theorems for products of planar compact sets as well as for graphs of functions. 
The Index of Singular Zeros of Harmonic Mappings of AntiAnalytic Degree One
[OWP201703] (Mathematisches Forschungsinstitut Oberwolfach, 20170202)We study harmonic mappings of the form $f(z) = h(z)  \overline{z}$, where $h$ is an analytic function. In particular we are interested in the index (a generalized multiplicity) of the zeros of such functions. Outside the ... 
The Initial and Terminal Cluster Sets of an Analytic Curve
[OWP201625] (Mathematisches Forschungsinstitut Oberwolfach, 20161221)For an analytic curve $\gamma : (a,b) \to \mathbb{C}$, the set of values approaches by $\gamma(t)$, as $t ↘a$ and as $t↗b$ can be any two continuua of $\mathbb{C} \cup \{\infty\}$. 
1744a  Interplay between Number Theory and Analysis for Dirichlet Series
[OWR201751] (2017)  (29 Oct  04 Nov 2017)In recent years a number of challenging research problems have crystallized in the analytic theory of Dirichlet series and its interaction with function theory in polydiscs. Their solutions appear to require unconventional ... 
0807a  MiniWorkshop: Complex Approximation and Universality
[OWR20086] (2008)  (10 Feb  16 Feb 2008) 
0950a  MiniWorkshop: The Escaping Set in Transcendental Dynamics
[OWR200954] (2009)  (06 Dec  12 Dec 2009)The escaping set of a transcendental entire or meromorphic function consists of all points which tend to inﬁnity under iteration. Its importance in transcendental dynamics has increased signiﬁcantly in recent years. The ... 
A new counting function for the zeros of holomorphic curves
[OWP200925] (Mathematisches Forschungsinstitut Oberwolfach, 20090318)Let $f_1,..., f_p$ be entire functions that do not all vanish at any point, so that $(f_1,..., f_p)$ is a holomorphic curve in $\mathbb{CP}^{p1}$. We introduce a new and more careful notion of counting the order of the ... 
1407  New Trends in Teichmüller Theory and Mapping Class Groups
[OWR20147] (2014)  (09 Feb  15 Feb 2014)The program “New Trends in Teichmüller Theory and Mapping Class Groups” brought together people working in various aspects of the field and beyond. The focus was on the recent developments that include higher Teichmüller ... 
NonExtendability of Holomorphic Functions with Bounded or Continuously Extendable Derivatives
[OWP201730] (Mathematisches Forschungsinstitut Oberwolfach, 20171021)We consider the spaces $H_{F}^{\infty}(\Omega)$ and $\mathcal{A}_{F}(\Omega)$ containing all holomorphic functions $f$ on an open set $\Omega \subseteq \mathbb{C}$, such that all derivatives $f^{(l)}$, $l\in F \subseteq ... 
0708a  Normal Families and Complex Dynamics
[OWR20079] (2007)  (18 Feb  24 Feb 2007)The schedule comprised more than 25 ordinary and problem session talks from a broad range of areas in function theory, including but not limited to: Nevanlinna theory, iteration of rational functions, dynamics of transcendental ... 
1044a  Operator Theory and Harmonic Analysis
[OWR201049] (2010)  (31 Oct  06 Nov 2010)The major topics discussed in this workshop were the Feichtinger conjecture and related questions of harmonic analysis, the corona problem for the ball Bn, the weighted approximation problem, and questions related to the ... 
0718b  Progress in Surface Theory
[OWR200724] (2007)  (29 Apr  05 May 2007)The theory of surfaces has undergone substantial changes in recent years, with many different active areas at this point in time. It has become mainstream to study minimal surfaces and constant mean curvature surfaces in ... 
1018  Progress in Surface Theory
[OWR201021] (2010)  (02 May  08 May 2010)The theory of surfaces is interpreted these days as a prototype of submanifold geometry and is characterized by the substantial application of PDE methods and methods from the theory of integrable systems, in addition to ... 
Rational Approximation on Products of Planar Domains
[OWP201605] (Mathematisches Forschungsinstitut Oberwolfach, 20160617)We consider $A(\Omega)$, the Banach space of functions $f$ from $ \overline{\Omega}=\prod_{i \in I} \overline{U_i}$ to $\mathbb{C}$ that are continuous with respect to the product topology and separately holomorphic, where ...