dc.contributor.advisor | Perfekt, Karl-Mikael | |
dc.contributor.author | Kim, Jeongmin | |
dc.date.accessioned | 2022-07-06T17:21:53Z | |
dc.date.available | 2022-07-06T17:21:53Z | |
dc.date.issued | 2022 | |
dc.identifier | no.ntnu:inspera:103848036:46755236 | |
dc.identifier.uri | https://hdl.handle.net/11250/3003306 | |
dc.description | Full text not available | |
dc.description.abstract | Denne bacheloroppgaven gir en oversikt over konvergensen av Fourier-serier og dens anvendelse i Hilbert-rom sammen med to kjerner, Dirichlet-kjernen og Fejér-kjernen. Nødvendige teoremer som konvergenssetningen, Bessels ulikhet og Fejérs teorem er oppgitt. I tillegg introduseres lemmaer knyttet til teoremene og definisjonene med deres anvendelser av teorien underveis. | |
dc.description.abstract | This thesis gives an overview of the convergence of Fourier series and its application in Hilbert space along with two kernels, Dirichlet kernel and Fejér kernel. Necessary theorems such as the convergence theorem, Bessel's inequality, and Fejér's theorem are stated. In addition, lemmas related to the theorems and definitions are introduced with their applications of the theory along the way. | |
dc.language | eng | |
dc.publisher | NTNU | |
dc.title | Fourier series and Hilbert spaces | |
dc.type | Bachelor thesis | |