Sökning: "Polydiscs"

Hittade 3 avhandlingar innehållade ordet Polydiscs.

1. 1. Holomorphic functions on polydiscs and measures on the distinguished boundary

   Författare :Linus Bergqvist; Alan Sola; Emmanuel Fricain; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex variables; Holomorphic functions; Polydiscs; matematik; Mathematics;

   Sammanfattning : This thesis consists of four papers, treating holomorphic functions defined on polydiscs, operators acting on spaces of such functions, and related measures on the n-torus. In paper I we study containment of rational inner functions, or RIFs for short, in Dirichlet type spaces on the unit polydisc D^n. LÄS MER

3. 2. Function spaces and rational inner functions on polydiscs

   Författare :Linus Bergqvist; Alan Sola; Jan-Fredrik Olsen; Stockholms universitet; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Complex variables; Hilbert spaces;

   Sammanfattning : In this thesis we consider problems related to rational inner functionsand several different Hilbert spaces on the unit polydisc. In the general introduction the functions and the function spaces we will be interested in are introduced, and in particular we point outproblems and phenomena that occur in higher dimensions and are notpresent for one variable functions. LÄS MER

4. 3. Symplectic Embeddings and results in TDA

   Författare :Alvin Jin; Wojciech Chacholski; Gregory Arone; Henry Adams; KTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics;

   Sammanfattning : This thesis is a collection of work under the theme of “applied topology."  The linking idea behind seemingly disjoint fields is the existence of a filtration that one uses to study a space. In turn, given the ubiquitous nature of filtrations, applications range from theoretical fields (e.g. LÄS MER