Summary
We study, in the complex domain, the action of the Fourier transform on the solutions of ordinary linear differential equations with polynomial coefficients. In the classical “Laplace method”, there are some restrictions; also, some choice of integration contours seem rather unsystematic. We show how to remove these restrictions and how to make these choices in a more systematic way.
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© 1991 Springer Science+Business Media Dordrecht
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Malgrange, B. (1991). Fourier Transform and Differential Equations. In: Boutet de Monvel, A., Dita, P., Nenciu, G., Purice, R. (eds) Recent Developments in Quantum Mechanics. Mathematical Physics Studies, vol 12. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3282-4_2
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DOI: https://doi.org/10.1007/978-94-011-3282-4_2
Publisher Name: Springer, Dordrecht
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