Blar i NTNU Open på forfatter "Stensønes, Berit"
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A Construction of Peak Functions on Weakly Pseudoconvex Domains
Olaisen, Daniel (Bachelor thesis, 2021)Som forberedelse til å konstruere det som kalles "peak functions" så studerer vi egenskaper til subharmoniske polynomer. -
A Fatou-Bieberbach Domain with a Complex Line in the Boundary
Romslo, Stein Olav (Master thesis, 2018)The purpose of this thesis is to construct a Fatou-Bieberbach domain in two complex variables with a complex line in the boundary. To achieve this, we will first explore the dynamics of an analytic transformation in one ... -
Automorphisms of C<sup>k</sup>with an invariant non-recurrent attracting Fatou component biholomorphic to C×(C∗)<sup>k-1</sup>
Bracci, Filippo; Raissy, Jasmin; Stensønes, Berit (Journal article; Peer reviewed, 2021) -
Construction of the Envelope of Holomorphy for a Domain
Bølviken, Håkon Strand (Master thesis, 2016)This thesis is based on a paper by Burglind Jöricke, who found an effective way of constructing the envelope of holomorphy for a domain. This thesis extends the result for domains embedded in n-dimensional complex space. -
An Example on s-H-Convexity in C2C2
Simon, Lars; Stensønes, Berit (Peer reviewed; Journal article, 2020)We construct a bounded domain Ω in C2 with boundary of class C1,1 such that Ω¯¯¯¯ has a Stein neighborhood basis, but is nots-H-convex for any real number s≥1. -
Existence of Fatou Components in Two Complex Variables
Reiersen, Mathias (Bachelor thesis, 2020)I denne oppgaven viser vi at det eksisterer holomorfe funksjoner i $\C^2$ som har en invariant, ikke-rekkurent Fatou Komponent, som er tiltrekkende. Vi viser og at denne komponenten er sammenhengende, men ikke enkeltsamm ... -
Holder estimates of the $\bar\partial$-equation
Reiersen, Mathias (Master thesis, 2022)Det å løse og estimere Cauchy-Riemann-ligningene ∂u = f har vært grunnleggende i kompleks analyse siden feltets begynnelsen og er sentralt i mange applikasjoner. I denne oppgaven vil vi løse og estimere ∂-ligningen i to ... -
Linearization of Hénon maps and a polynomial automorphism with wandering Fatou components
Hahn, David (Doctoral theses at NTNU;2018:308, Doctoral thesis, 2018) -
On Newton Diagrams of Plurisubharmonic Polynomials
Simon, Lars; Stensønes, Berit (Journal article; Peer reviewed, 2018)Each extreme edge of the Newton diagram of a plurisubharmonic polynomial on C2 gives rise to a plurisubharmonic polynomial. It is tempting to believe that the union of the extreme edges or the convex hull of said union ... -
On Stein Neighborhood Bases, Parametric Splitting and Bumpings of Finite Type Domains
Simon, Lars (Doctoral theses at NTNU;2018:309, Doctoral thesis, 2018)In this thesis we investigate various topics within the field of several complex variables. The following four papers constitute the scientific contribution of the thesis: Paper 1: On Newton Diagrams of Plurisubharmonic ... -
Resonances and Constructions of Fatou-Bieberbach Maps
Aidoo, Nicholas (Master thesis, 2016)We study and analyze a proof of a theorem by Rosay and Rudin on the Fatou-Bieberbach method of constructing biholomorphic images of Cn in Cn, starting with an automorphism with an attracting xed point. We thoroughly ... -
Sup-norm estimates for ∂
Grundmeier, Dusty; Simon, Lars; Stensønes, Berit (Journal article; Peer reviewed, 2022) -
The Dynamical Behaviour of some Automorphisms of C^2 that fixes the axes
Bugge, Egil Aleksander (Master thesis, 2016)We use existing theory of Hakim and Weickert in order to identify a complex line which is such that close to the origin the stable set of the origin will be situated close to this line. Then we study the dynamical behaviour ... -
The rate of convergence to a fixed point in the complex plane
Hansen, Dag Eimund (Bachelor thesis, 2022)I denne oppgaven studerer vi funksjonen f(z):=z(1+z^k), der k er et positivt heltall, og dens atferd ved forskjellige punkter i det komplekse planet når vi itererer den n ganger på seg selv. Vårt hovedfokus er på dens ...