Jump to content

Ehrenpreis's fundamental principle

From Wikipedia, the free encyclopedia

This is an old revision of this page, as edited by K9re11 (talk | contribs) at 16:07, 21 April 2015 (References: stub template). The present address (URL) is a permanent link to this revision, which may differ significantly from the current revision.

In mathematical analysis, Ehrenpreis' 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]

References

  1. ^ http://link.springer.com/content/pdf/10.1007/978-1-4614-4075-8_24.pdf
  2. ^ Oshima, Toshio. "A Proof of Ehrenpreis' Fundamental Principle in Hyperfunctions". Retrieved 25 July 2013.