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Solving singular convolution equations using the inverse Fast Fourier Transform |
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| Authors: | Eduard Krajník Vincente Montesinos Peter Zizler Václav Zizler |
| Affiliation: | 1. Department of Mathematics, Faculty of Eletrical Engineering, Czech Technical University in Prague, Technická 2, 166 27, Prague 6, Czech Republic 2. Instituto de Matemática Pura y Aplicada, Universidad Politécnica de Valencia, C/ Vera, s/n., 46022, Valencia, Spain 3. Department of Math. Physics and Engineering, Mount Royal University, 4825 Mount Royal Gate SW, Calgary, Alberta, Canada 4. Institute of Mathematics of the Czech Academy of Sciences of the Czech Republic, ?itná 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. |
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