• DOI:10.1007/978-94-011-3282-4_2
Corpus ID: 116034505

Fourier Transform and Differential Equations

@inproceedings{Malgrange1991FourierTA,
  title={Fourier Transform and Differential Equations},
  author={B. Malgrange},
  year={1991}
}

• B. Malgrange
• Published 1991
• Mathematics

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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.