Filter functions with exponential convergence order

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DENK, Robert, 1994. Filter functions with exponential convergence order. In: Mathematische Nachrichten. 169(1), pp. 107-115

@article{Denk1994Filte-643, title={Filter functions with exponential convergence order}, year={1994}, number={1}, volume={169}, journal={Mathematische Nachrichten}, pages={107--115}, author={Denk, Robert} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <bibo:uri rdf:resource=""/> <dc:rights>Attribution-NonCommercial-NoDerivs 2.0 Generic</dc:rights> <dc:creator>Denk, Robert</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:available rdf:datatype="">2011-03-22T17:45:20Z</dcterms:available> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:rights rdf:resource=""/> <dc:date rdf:datatype="">2011-03-22T17:45:20Z</dc:date> <dcterms:bibliographicCitation>First publ. in: Mathematische Nachrichten 169 (1994), 1, pp. 107-115</dcterms:bibliographicCitation> <dspace:isPartOfCollection rdf:resource=""/> <dcterms:hasPart rdf:resource=""/> <dc:format>application/pdf</dc:format> <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> <dspace:hasBitstream rdf:resource=""/> <dcterms:title>Filter functions with exponential convergence order</dcterms:title> <dc:contributor>Denk, Robert</dc:contributor> <dcterms:issued>1994</dcterms:issued> <dc:language>eng</dc:language> <dcterms:isPartOf rdf:resource=""/> </rdf:Description> </rdf:RDF>

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