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Abstract
Let be a complete metric space and let be a Borel measure on . Under certain fairly general assumptions about the metric and the measure, we use lattice theory to construct an isometric copy of the space , which is called its wave model. The construction is motivated by applications to inverse problems of mathematical physics. We show how the wave model solves the problem of reconstructing a Riemannian manifold with boundary from its spectral data. Bibliography: 13 titles.
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