Matches in SemOpenAlex for { <https://semopenalex.org/work/W2004134119> ?p ?o ?g. }
Showing items 1 to 64 of
64
with 100 items per page.
- W2004134119 endingPage "12" @default.
- W2004134119 startingPage "1" @default.
- W2004134119 abstract "As a by-product a variety of projection kernels (P such that f = f Pf, f o r f h o l o morphic) were obtained. These kernels give representation formulas for holomorphie functions which in general consist of an integral over the whole domain and a boundary integral. The projection part and the corresponding representation formulas have proved to be quite fruitful. They have been used by several authors (see e.g. [2], [3], [5] and [ 10]) to obtain explicit solutions to division and interpolation problems. The purpose of this paper is to give a short proof of a generalization of the representation formulas in [3] and [4] without making the d6tour to the 0-problem and the kernels K. We derive in w 1 a quite general formula (Theorem l) which is then turned into a more tangible one for bounded domains (Theorem 2). Using logarithmic residues we also obtain weighted versions of certain formulas in [13] and [15]. In w 2 we give a few examples and comments. To motivate what follows, let us take a brief look at the case n= I. Let f be holomorphic in a domain f 2 c C and suppose that 12CCa(OX~). We then have" @default.
- W2004134119 created "2016-06-24" @default.
- W2004134119 creator A5052721934 @default.
- W2004134119 creator A5078538348 @default.
- W2004134119 date "1988-12-01" @default.
- W2004134119 modified "2023-09-26" @default.
- W2004134119 title "A shortcut to weighted representation formulas for holomorphic functions" @default.
- W2004134119 cites W1515192744 @default.
- W2004134119 cites W19430754 @default.
- W2004134119 cites W2042645138 @default.
- W2004134119 cites W206508130 @default.
- W2004134119 cites W2085610213 @default.
- W2004134119 cites W2086140919 @default.
- W2004134119 cites W2217792849 @default.
- W2004134119 cites W2314522050 @default.
- W2004134119 cites W2531611029 @default.
- W2004134119 cites W351848820 @default.
- W2004134119 cites W386980184 @default.
- W2004134119 doi "https://doi.org/10.1007/bf02386104" @default.
- W2004134119 hasPublicationYear "1988" @default.
- W2004134119 type Work @default.
- W2004134119 sameAs 2004134119 @default.
- W2004134119 citedByCount "10" @default.
- W2004134119 crossrefType "journal-article" @default.
- W2004134119 hasAuthorship W2004134119A5052721934 @default.
- W2004134119 hasAuthorship W2004134119A5078538348 @default.
- W2004134119 hasBestOaLocation W20041341191 @default.
- W2004134119 hasConcept C136119220 @default.
- W2004134119 hasConcept C17744445 @default.
- W2004134119 hasConcept C199539241 @default.
- W2004134119 hasConcept C202444582 @default.
- W2004134119 hasConcept C204575570 @default.
- W2004134119 hasConcept C2776359362 @default.
- W2004134119 hasConcept C33923547 @default.
- W2004134119 hasConcept C94625758 @default.
- W2004134119 hasConceptScore W2004134119C136119220 @default.
- W2004134119 hasConceptScore W2004134119C17744445 @default.
- W2004134119 hasConceptScore W2004134119C199539241 @default.
- W2004134119 hasConceptScore W2004134119C202444582 @default.
- W2004134119 hasConceptScore W2004134119C204575570 @default.
- W2004134119 hasConceptScore W2004134119C2776359362 @default.
- W2004134119 hasConceptScore W2004134119C33923547 @default.
- W2004134119 hasConceptScore W2004134119C94625758 @default.
- W2004134119 hasIssue "1-2" @default.
- W2004134119 hasLocation W20041341191 @default.
- W2004134119 hasOpenAccess W2004134119 @default.
- W2004134119 hasPrimaryLocation W20041341191 @default.
- W2004134119 hasRelatedWork W1984991522 @default.
- W2004134119 hasRelatedWork W2021494526 @default.
- W2004134119 hasRelatedWork W2049186872 @default.
- W2004134119 hasRelatedWork W2052497030 @default.
- W2004134119 hasRelatedWork W2057890579 @default.
- W2004134119 hasRelatedWork W2063132333 @default.
- W2004134119 hasRelatedWork W2093102607 @default.
- W2004134119 hasRelatedWork W2963532896 @default.
- W2004134119 hasRelatedWork W2964186541 @default.
- W2004134119 hasRelatedWork W2980231599 @default.
- W2004134119 hasVolume "26" @default.
- W2004134119 isParatext "false" @default.
- W2004134119 isRetracted "false" @default.
- W2004134119 magId "2004134119" @default.
- W2004134119 workType "article" @default.