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Eduard Krajnik, Vincente Montesinos, Peter Zizler, Vaclav Zizler.
Applications of Mathematics, October 2012, Volume 57, Issue 5, pp 543-550.
Department of Mathematics, Faculty of Eletrical Engineering, Czech Technical.
University in Prague, Technická 2, 166 27, Prague 6, Czech Republic.
Instituto de Matemática Pura y Aplicada, Universidad Politecnica de Valencia, C/ Vera, s/n., 46022, Valencia, Spain.
Department of Math. Physics and Engineering, Mount Royal University, 4825 Mount Royal Gate SW, Calgary, Alberta, Canada.
Institute of Mathematics of the Czech Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Praha 1, Czech Republic.
Abstract
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.
