2018-04
AUTHORSFriedrich Littmann, Mark Spanier
ABSTRACTLet E=A-iB be a Hermite–Biehler entire function of exponential type τ/2 where A and B are real entire, and consider dμ(x)=dx/|E(x)|2. We show that the sign of the product AB is an extremal signature for the space of functions of exponential type τ with respect to the norm of L1(μ). This allows us to find best approximations by entire functions of exponential type τ in L1(μ)-norm to certain special functions (e.g., the Gaussian and the Poisson kernel). More... »
PAGES339-356
http://scigraph.springernature.com/pub.10.1007/s00365-017-9373-7
DOIhttp://dx.doi.org/10.1007/s00365-017-9373-7
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1084517664
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0601",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Biochemistry and Cell Biology",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/06",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Biological Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "North Dakota State University",
"id": "https://www.grid.ac/institutes/grid.261055.5",
"name": [
"North Dakota State University, 1340 Administration Ave, 58105, Fargo, ND, USA"
],
"type": "Organization"
},
"familyName": "Littmann",
"givenName": "Friedrich",
"id": "sg:person.011455216265.52",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011455216265.52"
],
"type": "Person"
},
{
"affiliation": {
"alternateName": "Dakota State University",
"id": "https://www.grid.ac/institutes/grid.254833.b",
"name": [
"Dakota State University, 820 Washington Ave N, 57042, Madison, SD, USA"
],
"type": "Organization"
},
"familyName": "Spanier",
"givenName": "Mark",
"id": "sg:person.011141215403.87",
"sameAs": [
"https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.011141215403.87"
],
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1016/j.aim.2014.04.007",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1001631419"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02790092",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1006321909",
"https://doi.org/10.1007/bf02790092"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf02790092",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1006321909",
"https://doi.org/10.1007/bf02790092"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/s1061-0022-06-00922-8",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1012204000"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/s11854-011-0018-7",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1012725338",
"https://doi.org/10.1007/s11854-011-0018-7"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/s0273-0979-1985-15349-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1018397863"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bfb0058976",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1036366748",
"https://doi.org/10.1007/bfb0058976"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bfb0058976",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1036366748",
"https://doi.org/10.1007/bfb0058976"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-662-41583-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1039028295",
"https://doi.org/10.1007/978-3-662-41583-2"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-662-41583-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1039028295",
"https://doi.org/10.1007/978-3-662-41583-2"
],
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1043716027",
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-0348-8520-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1043716027",
"https://doi.org/10.1007/978-3-0348-8520-1"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-0348-8520-1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1043716027",
"https://doi.org/10.1007/978-3-0348-8520-1"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-61497-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1049517054",
"https://doi.org/10.1007/978-3-642-61497-2"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-61497-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1049517054",
"https://doi.org/10.1007/978-3-642-61497-2"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1080/10586458.2004.10504525",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1051576924"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/tran6672",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059351995"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1215/s0012-7094-96-08309-x",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1064420199"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1353/ajm.2017.0014",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1084266388"
],
"type": "CreativeWork"
}
],
"datePublished": "2018-04",
"datePublishedReg": "2018-04-01",
"description": "Let E=A-iB be a Hermite\u2013Biehler entire function of exponential type \u03c4/2 where A and B are real entire, and consider d\u03bc(x)=dx/|E(x)|2. We show that the sign of the product AB is an extremal signature for the space of functions of exponential type \u03c4 with respect to the norm of L1(\u03bc). This allows us to find best approximations by entire functions of exponential type \u03c4 in L1(\u03bc)-norm to certain special functions (e.g., the Gaussian and the Poisson kernel).",
"genre": "research_article",
"id": "sg:pub.10.1007/s00365-017-9373-7",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isPartOf": [
{
"id": "sg:journal.1135933",
"issn": [
"0176-4276",
"1432-0940"
],
"name": "Constructive Approximation",
"type": "Periodical"
},
{
"issueNumber": "2",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "47"
}
],
"name": "Extremal Signatures",
"pagination": "339-356",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"56dca673bc9f4ee59460081d8bbc58135c39397940151afebce74e68dcd53f04"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s00365-017-9373-7"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1084517664"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s00365-017-9373-7",
"https://app.dimensions.ai/details/publication/pub.1084517664"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T12:27",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000362_0000000362/records_87117_00000001.jsonl",
"type": "ScholarlyArticle",
"url": "https://link.springer.com/10.1007%2Fs00365-017-9373-7"
}
]Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00365-017-9373-7'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00365-017-9373-7'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00365-017-9373-7'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00365-017-9373-7'
This table displays all metadata directly associated to this object as RDF triples.
118 TRIPLES
21 PREDICATES
41 URIs
19 LITERALS
7 BLANK NODES