Approximate monotonicity: Theory and applications

DC FieldValueLanguage
dc.contributor.authorElsken, T
dc.contributor.authorPearson, DB
dc.contributor.authorRobinson, PM
dc.date.accessioned2021-12-23T16:11:29Z-
dc.date.available2021-12-23T16:11:29Z-
dc.date.issued1996
dc.identifier.issn00246107
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/9732-
dc.description.abstractThe ideas of value distribution for measurable functions from pg to R are applied to functions which are approximately monotonic on sets of positive measure. (For definitions see 1.) A function p(x) is introduced, describing the local relative value distribution in the neighbourhood of a point x, and it is shown that almost everywhere p(x) = 0 or 1/2 wherever p(x) exists, implying approximate differentiabiilty, with the function approximately oscillatory elsewhere. These results are applied to the analysis of angular boundary behaviour for Herglotz functions, where they have implications for the spectral analysis of differential and other operators.
dc.language.isoen
dc.publisherLONDON MATH SOC
dc.relation.ispartofJOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES
dc.subjectMathematics
dc.subjectOPERATORS
dc.titleApproximate monotonicity: Theory and applications
dc.typejournal article
dc.identifier.doi10.1112/jlms/53.3.489
dc.identifier.isiISI:A1996UV27200007
dc.description.volume53
dc.description.issue3
dc.description.startpage489
dc.description.endpage502
dc.publisher.placeBURLINGTON HOUSE PICCADILLY, LONDON, ENGLAND W1V 0NL
dcterms.isPartOf.abbreviationJ. Lond. Math. Soc.-Second Ser.
Show simple item record

Page view(s)

1
Last Week
0
Last month
0
checked on Apr 16, 2024

Google ScholarTM

Check

Altmetric