Fourier Transform and Differential Equations

  • Kôsaku Yosida
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 123)


The Fourier transform is one of the most powerful tools in classical and modern analysis. Its scope has recently been strikingly extended thanks to the introduction of the notion of generalized functions of S. L. Sobolev [1] and L. Schwartz [1]. The extension has been applied successfully to the theory of linear partial differential equations by L. Ehrenpreis, B. Malgrange and especially by L. Hörmander[6].


Weak Solution Inverse Fourier Transform Dual Operator Linear Partial Differential Equation Linear Topological Space 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1971

Authors and Affiliations

  • Kôsaku Yosida
    • 1
  1. 1.Research Institute for Mathematical SciencesUniversity of KyotoKyotoJapan

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