@book{oai:tsukuba.repo.nii.ac.jp:00020037,
 author = {磯崎, 洋 and ISOZAKI, Hiroshi},
 month = {May},
 note = {Many self-adjoint operators appearing in mathematical physics and geometry have their spectral data: eigenvalues, informations of eigenvectors, scattering matrices. A natural attempt is the reconstruction of the original operator in terms of its spectral data. The precursor of this inverse spectral problem goes back at least to the Sturm–Liouville theory of differential operators. The systematic study of inverse spectral problems has become active from early 20th century, and the interest on this subject is unceasingly growing up since then.

The aim of this article is to give a brief survey of the inverse spectral problem for self-adjoint differential operators: boundary value problems and scattering problems for Schrödinger opeartors, Laplace–Beltrami operators on Riemannian manifolds. Both of the 1-dimensional and the multi-dimensional problems are discussed. There is so extensive literature on the inverse problem that our arguments must be restricted to limited aspects of the subject. The basic feature I would like to stress is: One-dimensional spectral problems are smoothly deformable like C∞-functions, while multi-dimensional problems are rigid like analytic functions (at least in Euclidean spaces)., edited by Huzihiro Araki& Hiroshi Ezawa},
 publisher = {World Scientific},
 title = {INVERSE SPECTRAL THEORY},
 year = {2004},
 yomi = {イソザキ, ヒロシ}
}