JournalsprimsVol. 43, No. 1pp. 201–240

The <span style="text-decoration: overline;">∂</span>-theory for Inverse Problems Associated with Schrödinger Operators on Hyperbolic Spaces

  • Hiroshi Isozaki

    Graduate School of Pure and Applied Sciences, Ibaraki, Tsukuba, Japan
The <span style="text-decoration: overline;">∂</span>-theory for Inverse Problems Associated with Schrödinger Operators on Hyperbolic Spaces cover
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Abstract

An analogue of the Faddeev scattering amplitude is introduced for Schrödinger operators on hyperbolic spaces. It satisfies a ∂-equation and enables us to derive an integral representation of the potential.

Cite this article

Hiroshi Isozaki, The <span style="text-decoration: overline;">∂</span>-theory for Inverse Problems Associated with Schrödinger Operators on Hyperbolic Spaces. Publ. Res. Inst. Math. Sci. 43 (2007), no. 1, pp. 201–240

DOI 10.2977/PRIMS/1199403815