Abstract
AbstractWe continue to derive results in the spirit of classical Ambartsumian Theorem 14.1. In the first part we use heat kernel technique to show that a Schrödinger operator is isospectral to a Laplacian only if the potential is zero. This part is rather technical but does not require any a priori knowledge of heat kernel semigroups. In the second part the theory of almost periodic functions is used to obtain uniqueness results for Laplace and Schrödinger operators.
Publisher
Springer Berlin Heidelberg
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