Solving singular convolution equations using the inverse fast Fourier transform

0381146 - MÚ 2013 RIV CZ eng J - Journal Article
Krajník, E. - Montesinos, V. - Zizler, P. - Zizler, Václav
Solving singular convolution equations using the inverse fast Fourier transform.
Applications of Mathematics. Roč. 57, č. 5 (2012), s. 543-550. ISSN 0862-7940. E-ISSN 1572-9109
R&D Projects: GA AV ČR IAA100190901
Institutional research plan: CEZ:AV0Z10190503
Keywords : singular convolution equations * fast Fourier transform * tempered distribution
Subject RIV: BA - General Mathematics
Impact factor: 0.222, year: 2012
http://www.springerlink.com/content/m8437t3563214048/

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.
Permanent Link: http://hdl.handle.net/11104/0211678