Title

On the spectral synthesis property and its application to partial differential equations

Abstract

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 [4], 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.

Department(s)

Mathematics

Document Type

Article

DOI

https://doi.org/10.1007/BF02384864

Publication Date

12-1-1992

Journal Title

Arkiv för matematik

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