The $\bar ∂$-theory for Inverse Problems Associated with Schrödinger Operators on Hyperbolic Spaces

Hiroshi Isozaki

doi:10.2977/prims/1199403815

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

The $\overset{ˉ}{\partial}$ -theory for Inverse Problems Associated with Schrödinger Operators on Hyperbolic Spaces

Hiroshi Isozaki
Graduate School of Pure and Applied Sciences, Ibaraki, Tsukuba, Japan

$The $\bar ∂$-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 $\overset{ˉ}{\partial}$ -equation and enables us to derive an integral representation of the potential.

Cite this article

Hiroshi Isozaki, The $\overset{ˉ}{\partial}$ -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