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Subspaces of the Hardy space : Operator and function theory

Bergman, Alex LU orcid (2026)
Abstract
This thesis investigates subspaces of the Hardy space, especially ones defined via analytic continuation, and their applications to operator theory. The main function theoretic properties investigated are the distribution of zeros and extremal functions. The operator theory investigations are centered around the concept of invariant subspaces and cyclic vectors.
Please use this url to cite or link to this publication:
author
supervisor
opponent
  • Dr. Brevig, Ole Fredrik, NTNU Trondheim, Norway
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Hardy space, Operator theory, Analytic functions
pages
202 pages
publisher
MediaTryck Lund
defense location
Matematikcentrum, MH:H
defense date
2026-06-05 13:00:00
ISBN
9789181049329
9789181049312
language
English
LU publication?
yes
id
c02dbb97-15d5-4886-a4dc-6630cbd21acd
date added to LUP
2026-05-11 08:00:54
date last changed
2026-05-13 03:24:58
@phdthesis{c02dbb97-15d5-4886-a4dc-6630cbd21acd,
  abstract     = {{This thesis investigates subspaces of the Hardy space, especially ones defined via analytic continuation, and their applications to operator theory. The main function theoretic properties investigated are the distribution of zeros and extremal functions. The operator theory investigations are centered around the concept of invariant subspaces and cyclic vectors.}},
  author       = {{Bergman, Alex}},
  isbn         = {{9789181049329}},
  keywords     = {{Hardy space; Operator theory; Analytic functions}},
  language     = {{eng}},
  month        = {{05}},
  publisher    = {{MediaTryck Lund}},
  school       = {{Lund University}},
  title        = {{Subspaces of the Hardy space : Operator and function theory}},
  url          = {{https://lup.lub.lu.se/search/files/249806417/Avhandling_Alex_Bergman_LUCRIS.pdf}},
  year         = {{2026}},
}