Matches in SemOpenAlex for { <https://semopenalex.org/work/W1992329250> ?p ?o ?g. }
Showing items 1 to 75 of
75
with 100 items per page.
- W1992329250 endingPage "491" @default.
- W1992329250 startingPage "491" @default.
- W1992329250 abstract "1. Let a be a given point on a Riemann surface S of positive genus p and big * I b, p+, an arbitrary set of p + 1 points of S. By Abel's theorem, there exists on S a set of p points, c1, * * *, cp, dependent on the b, such that, given any integral of the first kind on S, with a for lower limit, the sum of the p+ 1 values of the integral with the b as upper limits equals the sum of the p values with the c as upper limits. The set of c may be regarded as a type of product of the p + 1 points b. As the reduction of any number q > p of integrals to p integrals leads generally to a unique result, the product operation has an associative quality. For p = 1, the operation makes S a one-parameter Lie group in which b1 and b2 have cl for product. We study a question of associative analytic combinations which is exemplified by the case of a surface of arbitrary postitive genus('). We use p symmetric functions fi (xi, * * , xP+i), i-1, * , p of p+1 variables, analytic when the variables are all zero. Let Pi (ui, . . , u,) represent, for i =1, * * * , p, the elementary symmetric function (e. s. f.) of degree i of ul, * * , up. We assume that when an xj vanishes, fi reduces to Pi of the x other than xJ. Now let there be given p relations" @default.
- W1992329250 created "2016-06-24" @default.
- W1992329250 creator A5085590402 @default.
- W1992329250 date "1949-02-01" @default.
- W1992329250 modified "2023-09-26" @default.
- W1992329250 title "Abel’s theorem and a generalization of one-parameter groups" @default.
- W1992329250 doi "https://doi.org/10.1090/s0002-9947-1949-0032765-x" @default.
- W1992329250 hasPublicationYear "1949" @default.
- W1992329250 type Work @default.
- W1992329250 sameAs 1992329250 @default.
- W1992329250 citedByCount "1" @default.
- W1992329250 crossrefType "journal-article" @default.
- W1992329250 hasAuthorship W1992329250A5085590402 @default.
- W1992329250 hasBestOaLocation W19923292501 @default.
- W1992329250 hasConcept C114614502 @default.
- W1992329250 hasConcept C121332964 @default.
- W1992329250 hasConcept C134306372 @default.
- W1992329250 hasConcept C14036430 @default.
- W1992329250 hasConcept C151201525 @default.
- W1992329250 hasConcept C157369684 @default.
- W1992329250 hasConcept C177148314 @default.
- W1992329250 hasConcept C24890656 @default.
- W1992329250 hasConcept C2524010 @default.
- W1992329250 hasConcept C2775997480 @default.
- W1992329250 hasConcept C33923547 @default.
- W1992329250 hasConcept C59822182 @default.
- W1992329250 hasConcept C78458016 @default.
- W1992329250 hasConcept C86803240 @default.
- W1992329250 hasConcept C90673727 @default.
- W1992329250 hasConceptScore W1992329250C114614502 @default.
- W1992329250 hasConceptScore W1992329250C121332964 @default.
- W1992329250 hasConceptScore W1992329250C134306372 @default.
- W1992329250 hasConceptScore W1992329250C14036430 @default.
- W1992329250 hasConceptScore W1992329250C151201525 @default.
- W1992329250 hasConceptScore W1992329250C157369684 @default.
- W1992329250 hasConceptScore W1992329250C177148314 @default.
- W1992329250 hasConceptScore W1992329250C24890656 @default.
- W1992329250 hasConceptScore W1992329250C2524010 @default.
- W1992329250 hasConceptScore W1992329250C2775997480 @default.
- W1992329250 hasConceptScore W1992329250C33923547 @default.
- W1992329250 hasConceptScore W1992329250C59822182 @default.
- W1992329250 hasConceptScore W1992329250C78458016 @default.
- W1992329250 hasConceptScore W1992329250C86803240 @default.
- W1992329250 hasConceptScore W1992329250C90673727 @default.
- W1992329250 hasIssue "2" @default.
- W1992329250 hasLocation W19923292501 @default.
- W1992329250 hasOpenAccess W1992329250 @default.
- W1992329250 hasPrimaryLocation W19923292501 @default.
- W1992329250 hasRelatedWork W1962793605 @default.
- W1992329250 hasRelatedWork W1967038027 @default.
- W1992329250 hasRelatedWork W1976337900 @default.
- W1992329250 hasRelatedWork W1978853338 @default.
- W1992329250 hasRelatedWork W1979206439 @default.
- W1992329250 hasRelatedWork W2007271474 @default.
- W1992329250 hasRelatedWork W2055557910 @default.
- W1992329250 hasRelatedWork W2092295018 @default.
- W1992329250 hasRelatedWork W2094100856 @default.
- W1992329250 hasRelatedWork W2287532894 @default.
- W1992329250 hasRelatedWork W2326597611 @default.
- W1992329250 hasRelatedWork W2328162041 @default.
- W1992329250 hasRelatedWork W2330824959 @default.
- W1992329250 hasRelatedWork W2334000660 @default.
- W1992329250 hasRelatedWork W2377865072 @default.
- W1992329250 hasRelatedWork W2484314061 @default.
- W1992329250 hasRelatedWork W2741595416 @default.
- W1992329250 hasRelatedWork W2949195922 @default.
- W1992329250 hasRelatedWork W942957578 @default.
- W1992329250 hasRelatedWork W3144751658 @default.
- W1992329250 hasVolume "67" @default.
- W1992329250 isParatext "false" @default.
- W1992329250 isRetracted "false" @default.
- W1992329250 magId "1992329250" @default.
- W1992329250 workType "article" @default.