Locally Explicit Fundamental Principle for Homogeneous Convolution Equations
Vidras Vidras · Journal of Siberian Federal University Mathematics & Physics · 2019
In the present paper a locally explicit version of Ehrenpreis’s Fundamental Principle for a system of homogeneous convolution equations f μ j = 0, j = 1; : : : ;m, f ∈ E(Rⁿ), μ j ∈ E′(Rⁿ), is derived, when the Fourier Transforms μ j , j = 1; : : : ;m are slowly decreasing entire functions that form a complete intersection in Cⁿ.