Matches in SemOpenAlex for { <https://semopenalex.org/work/W3153285571> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W3153285571 endingPage "58" @default.
- W3153285571 startingPage "50" @default.
- W3153285571 abstract "The problem of holomorphic extension of functions defined on the boundary of a domain into this domain is actual in multidimensional complex analysis. It has a long history, starting with the proceedings of Poincaré and Hartogs. This paper considers continuous functions defined on the boundary of a bounded domain $ D $ in $ mathbb C ^ n $, $ n> 1 $, with piecewise-smooth boundary, and having the generalized boundary Morera property along the family of complex lines that intersect the boundary of a domain. Morera property is that the integral of a given function is equal to zero over the intersection of the boundary of the domain with the complex line. It is shown that such functions extend holomorphically to the domain $ D $. For functions of one complex variable, the Morera property obviously does not imply a holomorphic extension. Therefore, this problem should be considered only in the multidimensional case $ (n> 1) $. The main method for studying such functions is the method of multidimensional integral representations, in particular, the Bochner-Martinelli integral representation." @default.
- W3153285571 created "2021-04-26" @default.
- W3153285571 creator A5056016913 @default.
- W3153285571 creator A5075572587 @default.
- W3153285571 date "2021-03-01" @default.
- W3153285571 modified "2023-10-16" @default.
- W3153285571 title "On functions with the boundary Morera property in domains with piecewise-smooth boundary" @default.
- W3153285571 doi "https://doi.org/10.35634/vm210104" @default.
- W3153285571 hasPublicationYear "2021" @default.
- W3153285571 type Work @default.
- W3153285571 sameAs 3153285571 @default.
- W3153285571 citedByCount "0" @default.
- W3153285571 crossrefType "journal-article" @default.
- W3153285571 hasAuthorship W3153285571A5056016913 @default.
- W3153285571 hasAuthorship W3153285571A5075572587 @default.
- W3153285571 hasBestOaLocation W31532855711 @default.
- W3153285571 hasConcept C111472728 @default.
- W3153285571 hasConcept C127413603 @default.
- W3153285571 hasConcept C134306372 @default.
- W3153285571 hasConcept C138885662 @default.
- W3153285571 hasConcept C14036430 @default.
- W3153285571 hasConcept C146978453 @default.
- W3153285571 hasConcept C164660894 @default.
- W3153285571 hasConcept C189950617 @default.
- W3153285571 hasConcept C199360897 @default.
- W3153285571 hasConcept C202444582 @default.
- W3153285571 hasConcept C204575570 @default.
- W3153285571 hasConcept C2778029271 @default.
- W3153285571 hasConcept C33923547 @default.
- W3153285571 hasConcept C34388435 @default.
- W3153285571 hasConcept C36503486 @default.
- W3153285571 hasConcept C41008148 @default.
- W3153285571 hasConcept C62354387 @default.
- W3153285571 hasConcept C64543145 @default.
- W3153285571 hasConcept C78458016 @default.
- W3153285571 hasConcept C86803240 @default.
- W3153285571 hasConceptScore W3153285571C111472728 @default.
- W3153285571 hasConceptScore W3153285571C127413603 @default.
- W3153285571 hasConceptScore W3153285571C134306372 @default.
- W3153285571 hasConceptScore W3153285571C138885662 @default.
- W3153285571 hasConceptScore W3153285571C14036430 @default.
- W3153285571 hasConceptScore W3153285571C146978453 @default.
- W3153285571 hasConceptScore W3153285571C164660894 @default.
- W3153285571 hasConceptScore W3153285571C189950617 @default.
- W3153285571 hasConceptScore W3153285571C199360897 @default.
- W3153285571 hasConceptScore W3153285571C202444582 @default.
- W3153285571 hasConceptScore W3153285571C204575570 @default.
- W3153285571 hasConceptScore W3153285571C2778029271 @default.
- W3153285571 hasConceptScore W3153285571C33923547 @default.
- W3153285571 hasConceptScore W3153285571C34388435 @default.
- W3153285571 hasConceptScore W3153285571C36503486 @default.
- W3153285571 hasConceptScore W3153285571C41008148 @default.
- W3153285571 hasConceptScore W3153285571C62354387 @default.
- W3153285571 hasConceptScore W3153285571C64543145 @default.
- W3153285571 hasConceptScore W3153285571C78458016 @default.
- W3153285571 hasConceptScore W3153285571C86803240 @default.
- W3153285571 hasFunder F4320324099 @default.
- W3153285571 hasIssue "1" @default.
- W3153285571 hasLocation W31532855711 @default.
- W3153285571 hasOpenAccess W3153285571 @default.
- W3153285571 hasPrimaryLocation W31532855711 @default.
- W3153285571 hasRelatedWork W1411114290 @default.
- W3153285571 hasRelatedWork W1513993761 @default.
- W3153285571 hasRelatedWork W2082499209 @default.
- W3153285571 hasRelatedWork W2156976711 @default.
- W3153285571 hasRelatedWork W2390116410 @default.
- W3153285571 hasRelatedWork W2949224856 @default.
- W3153285571 hasRelatedWork W3023629693 @default.
- W3153285571 hasRelatedWork W3198872745 @default.
- W3153285571 hasRelatedWork W4248595871 @default.
- W3153285571 hasRelatedWork W4256272560 @default.
- W3153285571 hasVolume "31" @default.
- W3153285571 isParatext "false" @default.
- W3153285571 isRetracted "false" @default.
- W3153285571 magId "3153285571" @default.
- W3153285571 workType "article" @default.