@article{CerejeirasKaehlerLegatiuketal.,
  author    = {Cerejeiras, Paula and K{\"a}hler, Uwe and Legatiuk, Anastasiia and Legatiuk, Dmitrii},
  title     = {Discrete Hardy Spaces for Bounded Domains in Rn},
  series = {Complex Analysis and Operator Theory},
  volume    = {2021},
  journal   = {Complex Analysis and Operator Theory},
  number    = {Volume 15, article 4},
  publisher = {Springer},
  address   = {Heidelberg},
  doi       = {10.1007/s11785-020-01047-6},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210804-44746},
  pages     = {1 -- 32},
  abstract  = {Discrete function theory in higher-dimensional setting has been in active development since many years. However, available results focus on studying discrete setting for such canonical domains as half-space, while the case of bounded domains generally remained unconsidered. Therefore, this paper presents the extension of the higher-dimensional function theory to the case of arbitrary bounded domains in Rn. On this way, discrete Stokes' formula, discrete Borel-Pompeiu formula, as well as discrete Hardy spaces for general bounded domains are constructed. Finally, several discrete Hilbert problems are considered.},
  subject      = {Dirac-Operator},
  language  = {en}
}