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- W2108974223 abstract "The Fundamental Principle of Ehrenpreis states that the solutions of homogeneous linear partial differential equations with constant coefficients have natural integral representations. Using the Oka-Cartan procedure Ehrenpreis derived this theorem for spaces of functions and distributions which he called localizable analytically uniform (LAU-spaces). With a new definition of LAU-spaces we explain how Hörmanderâs results on cohomology with bounds fit into Ehrenpreisâ method of proof of the Fundamental Principle. Furthermore, we show that many of the common Fréchet-Montel spaces of functions are LAU-spaces." @default.
- W2108974223 created "2016-06-24" @default.
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- W2108974223 date "1981-01-01" @default.
- W2108974223 modified "2023-10-14" @default.
- W2108974223 title "Localizable analytically uniform spaces and the fundamental principle" @default.
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- W2108974223 doi "https://doi.org/10.1090/s0002-9947-1981-0597879-2" @default.
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