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Solving singular convolution equations using the inverse fast Fourier transform
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SYSNO ASEP 0381146 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Solving 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, SAISource Title Applications of Mathematics. - : Springer - ISSN 0862-7940
Roč. 57, č. 5 (2012), s. 543-550Number of pages 8 s. Language eng - English Country CZ - Czech Republic Keywords singular convolution equations ; fast Fourier transform ; tempered distribution Subject RIV BA - General Mathematics R&D Projects IAA100190901 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000310078900008 EID SCOPUS 84868311807 DOI 10.1007/s10492-012-0032-9 Annotation The 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2013
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