Fourier Transform and Differential Equations

  • B. Malgrange
Part of the Mathematical Physics Studies book series (MPST, volume 12)


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.


Exact Sequence Asymptotic Expansion Exponential Type Complex Domain Polynomial Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • B. Malgrange
    • 1
  1. 1.Institut FourierUniversité de Grenoble 1France

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