Filter functions with exponential convergence order
| dc.contributor.author | Denk, Robert | |
| dc.date.accessioned | 2011-03-22T17:45:20Z | deu |
| dc.date.available | 2011-03-22T17:45:20Z | deu |
| dc.date.issued | 1994 | deu |
| dc.description.abstract | Oversampled functions can be evaluated using generalized sinc-series and filter functions connected with these series. First we consider a standard filter defined by terms of the exponential function . We show that the Fourier transform of this filter posseses exponential convergence order where in the exponent the square root of the independent variable appears. This improves an estimate given in a paper of F. Natterer. Moreover, we define a more general family of filter functions with exponential convergence order where now in the exponent the power of the independent variable is arbitrary close to 1. | eng |
| dc.description.version | published | |
| dc.format.mimetype | application/pdf | deu |
| dc.identifier.citation | First publ. in: Mathematische Nachrichten 169 (1994), 1, pp. 107-115 | deu |
| dc.identifier.ppn | 278343309 | deu |
| dc.identifier.uri | http://kops.uni-konstanz.de/handle/123456789/643 | |
| dc.language.iso | eng | deu |
| dc.legacy.dateIssued | 2008 | deu |
| dc.rights | Attribution-NonCommercial-NoDerivs 2.0 Generic | |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/2.0/ | |
| dc.subject.ddc | 510 | deu |
| dc.title | Filter functions with exponential convergence order | eng |
| dc.type | JOURNAL_ARTICLE | deu |
| dspace.entity.type | Publication | |
| kops.citation.bibtex | @article{Denk1994Filte-643,
year={1994},
title={Filter functions with exponential convergence order},
number={1},
volume={169},
journal={Mathematische Nachrichten},
pages={107--115},
author={Denk, Robert}
} | |
| kops.citation.iso690 | DENK, Robert, 1994. Filter functions with exponential convergence order. In: Mathematische Nachrichten. 1994, 169(1), pp. 107-115 | deu |
| kops.citation.iso690 | DENK, Robert, 1994. Filter functions with exponential convergence order. In: Mathematische Nachrichten. 1994, 169(1), pp. 107-115 | eng |
| kops.citation.rdf | <rdf:RDF
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:bibo="http://purl.org/ontology/bibo/"
xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:void="http://rdfs.org/ns/void#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#" >
<rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/643">
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:abstract xml:lang="eng">Oversampled functions can be evaluated using generalized sinc-series and filter functions connected with these series. First we consider a standard filter defined by terms of the exponential function . We show that the Fourier transform of this filter posseses exponential convergence order where in the exponent the square root of the independent variable appears. This improves an estimate given in a paper of F. Natterer. Moreover, we define a more general family of filter functions with exponential convergence order where now in the exponent the power of the independent variable is arbitrary close to 1.</dcterms:abstract>
<dc:language>eng</dc:language>
<dc:format>application/pdf</dc:format>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:20Z</dcterms:available>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:45:20Z</dc:date>
<dc:contributor>Denk, Robert</dc:contributor>
<dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/643/1/Filter_functions_with_exponential_convergence_order.pdf"/>
<dc:creator>Denk, Robert</dc:creator>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/643"/>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dcterms:bibliographicCitation>First publ. in: Mathematische Nachrichten 169 (1994), 1, pp. 107-115</dcterms:bibliographicCitation>
<dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/643/1/Filter_functions_with_exponential_convergence_order.pdf"/>
<dcterms:rights rdf:resource="http://creativecommons.org/licenses/by-nc-nd/2.0/"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:rights>Attribution-NonCommercial-NoDerivs 2.0 Generic</dc:rights>
<dcterms:title>Filter functions with exponential convergence order</dcterms:title>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:issued>1994</dcterms:issued>
</rdf:Description>
</rdf:RDF> | |
| kops.description.openAccess | openaccessgreen | |
| kops.flag.knbibliography | false | |
| kops.identifier.nbn | urn:nbn:de:bsz:352-opus-51151 | deu |
| kops.opus.id | 5115 | deu |
| kops.sourcefield | Mathematische Nachrichten. 1994, <b>169</b>(1), pp. 107-115 | deu |
| kops.sourcefield.plain | Mathematische Nachrichten. 1994, 169(1), pp. 107-115 | deu |
| kops.sourcefield.plain | Mathematische Nachrichten. 1994, 169(1), pp. 107-115 | eng |
| relation.isAuthorOfPublication | 08802174-1f85-4bbc-9c22-9ebfd4010713 | |
| relation.isAuthorOfPublication.latestForDiscovery | 08802174-1f85-4bbc-9c22-9ebfd4010713 | |
| source.bibliographicInfo.fromPage | 107 | |
| source.bibliographicInfo.issue | 1 | |
| source.bibliographicInfo.toPage | 115 | |
| source.bibliographicInfo.volume | 169 | |
| source.periodicalTitle | Mathematische Nachrichten |
Dateien
Originalbündel
1 - 1 von 1
Vorschaubild nicht verfügbar
- Name:
- Filter_functions_with_exponential_convergence_order.pdf
- Größe:
- 160.89 KB
- Format:
- Adobe Portable Document Format
