In mathematical analysis, Ehrenpreis's fundamental principle, introduced by Leon Ehrenpreis, states: :Every solution of a system (in general, overdetermined) of homogeneous

partial differential equation In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives. The function is often thought of as an "unknown" that solves the equation, similar to ho ...

s with constant

coefficient In mathematics, a coefficient is a Factor (arithmetic), multiplicative factor involved in some Summand, term of a polynomial, a series (mathematics), series, or any other type of expression (mathematics), expression. It may be a Dimensionless qu ...

s can be represented as the integral with respect to an appropriate Radon measure over the complex “ characteristic variety” of the system.

References

Mathematical analysis {{analysis-stub