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Discrete Hardy Spaces for Bounded Domains in Rn
- 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 boundedDiscrete 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.…
Dokumentart: | Artikel (Wissenschaftlicher) |
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Verfasserangaben: | Paula CerejeirasGND, Uwe KählerGND, Anastasiia LegatiukORCiD, Dr. Dmitrii LegatiukORCiDGND |
DOI (Zitierlink): | https://doi.org/10.1007/s11785-020-01047-6Zitierlink |
URN (Zitierlink): | https://nbn-resolving.org/urn:nbn:de:gbv:wim2-20210804-44746Zitierlink |
URL: | https://link.springer.com/article/10.1007/s11785-020-01047-6 |
Titel des übergeordneten Werkes (Englisch): | Complex Analysis and Operator Theory |
Verlag: | Springer |
Verlagsort: | Heidelberg |
Sprache: | Englisch |
Datum der Veröffentlichung (online): | 02.08.2021 |
Datum der Erstveröffentlichung: | 02.11.2020 |
Datum der Freischaltung: | 04.08.2021 |
Veröffentlichende Institution: | Bauhaus-Universität Weimar |
Institute und Partnereinrichtugen: | Fakultät Bauingenieurwesen / Professur Angewandte Mathematik |
Jahrgang: | 2021 |
Ausgabe / Heft: | Volume 15, article 4 |
Seitenzahl: | 32 |
Erste Seite: | 1 |
Letzte Seite: | 32 |
Freies Schlagwort / Tag: | discrete Dirac operator; discrete boundary value problems; discrete monogenic functions |
GND-Schlagwort: | Dirac-Operator; Randwertproblem; Funktionentheorie |
DDC-Klassifikation: | 600 Technik, Medizin, angewandte Wissenschaften / 620 Ingenieurwissenschaften |
BKL-Klassifikation: | 31 Mathematik / 31.47 Operatortheorie |
Lizenz (Deutsch): | Creative Commons 4.0 - Namensnennung (CC BY 4.0) |