dc.contributor.author | Chailos, George | en |
dc.contributor.author | Vidras, Alekos | en |
dc.creator | Chailos, George | en |
dc.creator | Vidras, Alekos | en |
dc.date.accessioned | 2019-12-02T10:34:12Z | |
dc.date.available | 2019-12-02T10:34:12Z | |
dc.date.issued | 2006 | |
dc.identifier.uri | http://gnosis.library.ucy.ac.cy/handle/7/56572 | |
dc.description.abstract | Let sript U sign be a bounded, simply connected domain with Jordan rectifiable boundary and let M ⊂ ∂ sript U sign be an open analytic arc whose Lebesgue measure satisfies 0 < m(M) < m(∂ sript U sign. Our result gives a complete description of the class of holomorphic functions in sript U sign which are represented by the Carleman formulas on the open arc M, when ∂ sript U sign is almost regular with respect to M (Section 2). That is, we give a type of integral representation formulas for functions holomorphic in a domain sript U sign by its values on a part M of the boundary ∂ sript U sign. This class is denoted by sript N sign ℋ1 M(sript U sign). © Springer-Verlag 2006. | en |
dc.source | Monatshefte fur Mathematik | en |
dc.source.uri | https://www.scopus.com/inward/record.uri?eid=2-s2.0-33845309445&doi=10.1007%2fs00605-006-0401-0&partnerID=40&md5=fa0d609d93c9bf1121e34ca0daae40db | |
dc.subject | Smirnov classes | en |
dc.subject | Carleman formulas | en |
dc.subject | Analytic curves | en |
dc.title | On a class of holomorphic functions representable by Carleman formulas in some class of bounded, simply connected domains from their values on an analytic arc | en |
dc.type | info:eu-repo/semantics/article | |
dc.identifier.doi | 10.1007/s00605-006-0401-0 | |
dc.description.volume | 149 | |
dc.description.issue | 4 | |
dc.description.startingpage | 289 | |
dc.description.endingpage | 301 | |
dc.author.faculty | Σχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences | |
dc.author.department | Τμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics | |
dc.type.uhtype | Article | en |
dc.description.notes | <p>Cited By :2</p> | en |
dc.source.abbreviation | Monatsh.Math. | en |
dc.contributor.orcid | Vidras, Alekos [0000-0001-9917-8367] | |
dc.gnosis.orcid | 0000-0001-9917-8367 | |