The Inverse Resonance Problem for Hermite Operators
نویسنده
چکیده
In this paper the inverse resonance problem for the Hermite operator is investigated. The Hermite operator H = a + a∗ + b with the creation operator a, the annihilation operator a∗, and a finitely supported multiplication operator b, is an unbounded operator on `(N0) having finitely many eigenvalues and infinitely many resonances (except for b = 0 when there are no eigenvalues or resonances). It is shown that knowing the location of eigenvalues and resonances determines the potential b uniquely.
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