Solving singular convolution equations using the inverse fast Fourier transform
Eduard Krajník; Vincente Montesinos; Peter Zizler; Václav Zizler
Applications of Mathematics (2012)
- Volume: 57, Issue: 5, page 543-550
- ISSN: 0862-7940
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Abstract
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topKrajník, Eduard, et al. "Solving singular convolution equations using the inverse fast Fourier transform." Applications of Mathematics 57.5 (2012): 543-550. <http://eudml.org/doc/247192>.
@article{Krajník2012,
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.},
author = {Krajník, Eduard, Montesinos, Vincente, Zizler, Peter, Zizler, Václav},
journal = {Applications of Mathematics},
keywords = {singular convolution equations; fast Fourier transform; tempered distribution; polynomial transfer functions; simple zeros; singular convolution equation; fast Fourier transform; tempered distribution; polynomial transfer function},
language = {eng},
number = {5},
pages = {543-550},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Solving singular convolution equations using the inverse fast Fourier transform},
url = {http://eudml.org/doc/247192},
volume = {57},
year = {2012},
}
TY - JOUR
AU - Krajník, Eduard
AU - Montesinos, Vincente
AU - Zizler, Peter
AU - Zizler, Václav
TI - Solving singular convolution equations using the inverse fast Fourier transform
JO - Applications of Mathematics
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 57
IS - 5
SP - 543
EP - 550
AB - 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.
LA - eng
KW - singular convolution equations; fast Fourier transform; tempered distribution; polynomial transfer functions; simple zeros; singular convolution equation; fast Fourier transform; tempered distribution; polynomial transfer function
UR - http://eudml.org/doc/247192
ER -
References
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