Vol. 111, No. 1, 1984

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Inverse spectral problems for certain differential operators

Roderic Murufas

Vol. 111 (1984), No. 1, 179–207

Let L0 be a given differential operator with spectral matrix (ρij0). There is a concept of “closeness to (ρij0)” such that for every positive matrix measure (ρij) which is “close to (ρij0)” there exists some differential operator L for which (ρij) is a spectral matrix and there exists a potentially computational technique by which L may be constructed from (ρij) and (ρij0). The formulation of the “closeness to (ρij0)” concept and the presentation of the techniques by which L may be constructed from (ρij) and (ρij0) are referred to as the local inverse spectral problem, which is the subject of this paper.

Mathematical Subject Classification 2000
Primary: 34A55
Secondary: 47E05, 34B25
Received: 27 January 1982
Revised: 14 September 1982
Published: 1 March 1984
Roderic Murufas