Canonical systems

Kaiser, Johannes

doi:10.34726/hss.2018.55020

Record link:

https://doi.org/10.34726/hss.2018.55020
http://hdl.handle.net/20.500.12708/3519

Title:

Citation:

Kaiser, J. (2018). Canonical systems [Diploma Thesis, Technische Universität Wien]. reposiTUm. https://doi.org/10.34726/hss.2018.55020

reposiTUm DOI:

10.34726/hss.2018.55020

CatalogPlus:

AC15020648

Publication Type:

Thesis - Diplomarbeit

Language:

English

Authors:

Kaiser, Johannes

Advisor:

Woracek, Harald

Organisational Unit:

E101 - Institut für Analysis und Scientific Computing

Date (published):

2018

Number of Pages:

Keywords:

Canonical System; Diagonal Hamiltonians; Growth of entire Functions; Proximate Order; Slowly Varying Functions

Abstract:

Abstract In this thesis we want to establish properties of fundamental solutions of canonical systems. To this end, we give a thourough introduction to canonical systems and basic properties of their fundamental solution. Further, we analyze the growth of the fundamental solutions, and we regard growth functions, proximate orders and slowly varying functions in this context. Finally, we present two results, where we determine the order of canonical systems under certain requirements.

License:

In Copyright

Appears in Collections:

Thesis