Ehrenpreis's fundamental principle explained

In mathematical analysis, Ehrenpreis's fundamental principle, introduced by Leon Ehrenpreis, states:^[1]

Every solution of a system (in general, overdetermined) of homogeneous partial differential equations with constant coefficients can be represented as the integral with respect to an appropriate Radon measure over the complex “characteristic variety” of the system.^[2]

Notes and References

1. Book: 10.1007/978-1-4614-4075-8_24 . 28 . 491–507. Developments in Mathematics . 2013 . Treves . François . From Fourier Analysis and Number Theory to Radon Transforms and Geometry . 978-1-4614-4074-1 . Ehrenpreis and the Fundamental Principle .
2. Oshima. Toshio. A Proof of Ehrenpreis' Fundamental Principle in Hyperfunctions. Proceedings of the Japan Academy. 50. 16–18. 25 July 2013. 10.3792/pja/1195519103. 1974. free.