On the spectral synthesis property and its application to partial differential equations
Let M be a (n-1)-dimensional manifold in Rn with non-vanishing Gaussian curvature. Using an estimate established in the early work of the author , we will improve the known result of Y. Domar on the weak spectral synthesis property by reducing the smoothness assumption upon the manifold M. Also as an application of the method, a uniqueness property for partial differential equations with constant coefficients will be proved, which for some specific cases recovers or improves Hörmander's general result.
Guo, Kanghui. "On the spectral synthesis property and its application to partial differential equations." Arkiv för matematik 30, no. 1 (1992): 93-103.
Arkiv för matematik