Matches in SemOpenAlex for { <https://semopenalex.org/work/W1567463360> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W1567463360 endingPage "222" @default.
- W1567463360 startingPage "205" @default.
- W1567463360 abstract "Let G be a semigroup of K-quasiregular or K-quasimeromorphic functions map- ping a given open set U in the Riemann sphere into itself, for a fixed K, the semigroup operation being the composition of functions. We prove that if G satisfies an algebraic condition, which is true for all abelian semigroups, then there exists a K-quasiconformal homeomorphism of U onto an open set V such that all the functions in f ◦G◦f −1 are meromorphic functions of V into itself. In particular, if U is the whole sphere then the elements of f ◦G ◦f −1 are rational functions. We give an example of a semigroup generated by two functions on the sphere, each quasiconformally conjugate to a quadratic polynomial, that cannot be quasiconformally conjugated to a semigroup of rational functions. We give another such example of a semigroup of K-quasiconformal homeo- morphisms. These results extend and complement a similar positive conjugacy result of Tukia and of Sullivan for groups of K-quasiconformal homeomorphisms." @default.
- W1567463360 created "2016-06-24" @default.
- W1567463360 creator A5036616885 @default.
- W1567463360 date "1996-12-01" @default.
- W1567463360 modified "2023-09-26" @default.
- W1567463360 title "UNIFORMLY QUASIREGULAR SEMIGROUPS IN TWO DIMENSIONS" @default.
- W1567463360 cites W1967308662 @default.
- W1567463360 cites W1991503031 @default.
- W1567463360 cites W200043715 @default.
- W1567463360 cites W2078755009 @default.
- W1567463360 hasPublicationYear "1996" @default.
- W1567463360 type Work @default.
- W1567463360 sameAs 1567463360 @default.
- W1567463360 citedByCount "17" @default.
- W1567463360 countsByYear W15674633602012 @default.
- W1567463360 countsByYear W15674633602013 @default.
- W1567463360 countsByYear W15674633602014 @default.
- W1567463360 countsByYear W15674633602018 @default.
- W1567463360 crossrefType "journal-article" @default.
- W1567463360 hasAuthorship W1567463360A5036616885 @default.
- W1567463360 hasConcept C10728891 @default.
- W1567463360 hasConcept C118615104 @default.
- W1567463360 hasConcept C136170076 @default.
- W1567463360 hasConcept C146834321 @default.
- W1567463360 hasConcept C154483964 @default.
- W1567463360 hasConcept C162324750 @default.
- W1567463360 hasConcept C190333341 @default.
- W1567463360 hasConcept C202444582 @default.
- W1567463360 hasConcept C207405024 @default.
- W1567463360 hasConcept C33923547 @default.
- W1567463360 hasConcept C34447519 @default.
- W1567463360 hasConcept C87945829 @default.
- W1567463360 hasConceptScore W1567463360C10728891 @default.
- W1567463360 hasConceptScore W1567463360C118615104 @default.
- W1567463360 hasConceptScore W1567463360C136170076 @default.
- W1567463360 hasConceptScore W1567463360C146834321 @default.
- W1567463360 hasConceptScore W1567463360C154483964 @default.
- W1567463360 hasConceptScore W1567463360C162324750 @default.
- W1567463360 hasConceptScore W1567463360C190333341 @default.
- W1567463360 hasConceptScore W1567463360C202444582 @default.
- W1567463360 hasConceptScore W1567463360C207405024 @default.
- W1567463360 hasConceptScore W1567463360C33923547 @default.
- W1567463360 hasConceptScore W1567463360C34447519 @default.
- W1567463360 hasConceptScore W1567463360C87945829 @default.
- W1567463360 hasIssue "1" @default.
- W1567463360 hasLocation W15674633601 @default.
- W1567463360 hasOpenAccess W1567463360 @default.
- W1567463360 hasPrimaryLocation W15674633601 @default.
- W1567463360 hasRelatedWork W127258476 @default.
- W1567463360 hasRelatedWork W1494766783 @default.
- W1567463360 hasRelatedWork W1553738528 @default.
- W1567463360 hasRelatedWork W1578215794 @default.
- W1567463360 hasRelatedWork W1599907389 @default.
- W1567463360 hasRelatedWork W1603977374 @default.
- W1567463360 hasRelatedWork W1649315984 @default.
- W1567463360 hasRelatedWork W1931241291 @default.
- W1567463360 hasRelatedWork W1967308662 @default.
- W1567463360 hasRelatedWork W1991261826 @default.
- W1567463360 hasRelatedWork W2000875432 @default.
- W1567463360 hasRelatedWork W2004626564 @default.
- W1567463360 hasRelatedWork W2038711967 @default.
- W1567463360 hasRelatedWork W2072386919 @default.
- W1567463360 hasRelatedWork W2096689684 @default.
- W1567463360 hasRelatedWork W2330280929 @default.
- W1567463360 hasRelatedWork W2576822893 @default.
- W1567463360 hasRelatedWork W2949498416 @default.
- W1567463360 hasRelatedWork W3101253014 @default.
- W1567463360 hasRelatedWork W3102739121 @default.
- W1567463360 hasVolume "21" @default.
- W1567463360 isParatext "false" @default.
- W1567463360 isRetracted "false" @default.
- W1567463360 magId "1567463360" @default.
- W1567463360 workType "article" @default.