Abstract
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].
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© 1974 Springer-Verlag Berlin Heidelberg
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Yosida, K. (1974). Fourier Transform and Differential Equations. In: Functional Analysis. Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-96208-0_7
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DOI: https://doi.org/10.1007/978-3-642-96208-0_7
Publisher Name: Springer, Berlin, Heidelberg
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