Matches in SemOpenAlex for { <https://semopenalex.org/work/W3126200839> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W3126200839 endingPage "125062" @default.
- W3126200839 startingPage "125062" @default.
- W3126200839 abstract "In this paper, we will study the continuity of the Fourier transform of measures with respect to the vague topology. We show that the Fourier transform is vaguely discontinuous on R, but becomes continuous when restricting to a class of Fourier transformable measures such that either the measures, or their Fourier transforms are equi-translation bounded. We discuss continuity of the Fourier transform in the product and norm topology. We show that vague convergence of positive definite measures implies the equi translation boundedness of the Fourier transforms, which explains the continuity of the Fourier transform on the cone of positive definite measures. In the appendix, we characterize vague precompactness of a set of measures in arbitrary LCAG, and the necessity of second countability property of a group for defining the autocorrelation measure." @default.
- W3126200839 created "2021-02-15" @default.
- W3126200839 creator A5010011293 @default.
- W3126200839 creator A5078751889 @default.
- W3126200839 date "2021-07-01" @default.
- W3126200839 modified "2023-10-18" @default.
- W3126200839 title "On the (dis)continuity of the Fourier transform of measures" @default.
- W3126200839 cites W2025132312 @default.
- W3126200839 cites W2048009174 @default.
- W3126200839 cites W2051047574 @default.
- W3126200839 cites W2097916195 @default.
- W3126200839 cites W2132915523 @default.
- W3126200839 cites W2286506844 @default.
- W3126200839 cites W2300284451 @default.
- W3126200839 cites W2464169931 @default.
- W3126200839 cites W2766874750 @default.
- W3126200839 cites W2843834306 @default.
- W3126200839 cites W2963007933 @default.
- W3126200839 cites W2964344224 @default.
- W3126200839 cites W3099495511 @default.
- W3126200839 cites W3101492875 @default.
- W3126200839 cites W3102589890 @default.
- W3126200839 cites W3105094407 @default.
- W3126200839 cites W3105136967 @default.
- W3126200839 cites W81519130 @default.
- W3126200839 doi "https://doi.org/10.1016/j.jmaa.2021.125062" @default.
- W3126200839 hasPublicationYear "2021" @default.
- W3126200839 type Work @default.
- W3126200839 sameAs 3126200839 @default.
- W3126200839 citedByCount "3" @default.
- W3126200839 countsByYear W31262008392022 @default.
- W3126200839 countsByYear W31262008392023 @default.
- W3126200839 crossrefType "journal-article" @default.
- W3126200839 hasAuthorship W3126200839A5010011293 @default.
- W3126200839 hasAuthorship W3126200839A5078751889 @default.
- W3126200839 hasBestOaLocation W31262008392 @default.
- W3126200839 hasConcept C102519508 @default.
- W3126200839 hasConcept C122444316 @default.
- W3126200839 hasConcept C134306372 @default.
- W3126200839 hasConcept C166386157 @default.
- W3126200839 hasConcept C175146775 @default.
- W3126200839 hasConcept C202444582 @default.
- W3126200839 hasConcept C203024314 @default.
- W3126200839 hasConcept C33923547 @default.
- W3126200839 hasConcept C76563020 @default.
- W3126200839 hasConceptScore W3126200839C102519508 @default.
- W3126200839 hasConceptScore W3126200839C122444316 @default.
- W3126200839 hasConceptScore W3126200839C134306372 @default.
- W3126200839 hasConceptScore W3126200839C166386157 @default.
- W3126200839 hasConceptScore W3126200839C175146775 @default.
- W3126200839 hasConceptScore W3126200839C202444582 @default.
- W3126200839 hasConceptScore W3126200839C203024314 @default.
- W3126200839 hasConceptScore W3126200839C33923547 @default.
- W3126200839 hasConceptScore W3126200839C76563020 @default.
- W3126200839 hasFunder F4320320879 @default.
- W3126200839 hasFunder F4320334593 @default.
- W3126200839 hasIssue "2" @default.
- W3126200839 hasLocation W31262008391 @default.
- W3126200839 hasLocation W31262008392 @default.
- W3126200839 hasOpenAccess W3126200839 @default.
- W3126200839 hasPrimaryLocation W31262008391 @default.
- W3126200839 hasRelatedWork W1544289506 @default.
- W3126200839 hasRelatedWork W1967434260 @default.
- W3126200839 hasRelatedWork W2154898175 @default.
- W3126200839 hasRelatedWork W2184985477 @default.
- W3126200839 hasRelatedWork W2912855142 @default.
- W3126200839 hasRelatedWork W4206052973 @default.
- W3126200839 hasRelatedWork W4239972770 @default.
- W3126200839 hasRelatedWork W4295678671 @default.
- W3126200839 hasRelatedWork W4321259132 @default.
- W3126200839 hasRelatedWork W4353087411 @default.
- W3126200839 hasVolume "499" @default.
- W3126200839 isParatext "false" @default.
- W3126200839 isRetracted "false" @default.
- W3126200839 magId "3126200839" @default.
- W3126200839 workType "article" @default.