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Solving singular convolution equations using the inverse fast Fourier transform

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    SYSNO ASEP0381146
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve WOS
    TitleSolving singular convolution equations using the inverse fast Fourier transform
    Author(s) Krajník, E. (CZ)
    Montesinos, V. (ES)
    Zizler, P. (CA)
    Zizler, Václav (MU-W) RID, SAI
    Source TitleApplications of Mathematics. - : Springer - ISSN 0862-7940
    Roč. 57, č. 5 (2012), s. 543-550
    Number of pages8 s.
    Languageeng - English
    CountryCZ - Czech Republic
    Keywordssingular convolution equations ; fast Fourier transform ; tempered distribution
    Subject RIVBA - General Mathematics
    R&D ProjectsIAA100190901 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
    CEZAV0Z10190503 - MU-W (2005-2011)
    UT WOS000310078900008
    EID SCOPUS84868311807
    DOI10.1007/s10492-012-0032-9
    AnnotationThe inverse Fast Fourier Transform is a common procedure to solve a convolution equation provided the transfer function has no zeros on the unit circle. In our paper we generalize this method to the case of a singular convolution equation and prove that if the transfer function is a trigonometric polynomial with simple zeros on the unit circle, then this method can be extended.
    WorkplaceMathematical Institute
    ContactJarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
    Year of Publishing2013
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