### Abstract

We discuss two types of trace formula which arise from the inverse spectral problem for discrete Schrödinger operators as L = -Δ + V (x) where V is a bounded potential. One is the relationship between a potential and spectral data, and another is the one between the green function of L and periodic orbits of a state space.

Original language | English |
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Pages (from-to) | 27-41 |

Number of pages | 15 |

Journal | Publications of the Research Institute for Mathematical Sciences |

Volume | 34 |

Issue number | 1 |

DOIs | |

Publication status | Published - Jan 1 1998 |

Externally published | Yes |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

**A trace formula for discrete Schrödinger operators.** / Shirai, Tomoyuki.

Research output: Contribution to journal › Article

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TY - JOUR

T1 - A trace formula for discrete Schrödinger operators

AU - Shirai, Tomoyuki

PY - 1998/1/1

Y1 - 1998/1/1

N2 - We discuss two types of trace formula which arise from the inverse spectral problem for discrete Schrödinger operators as L = -Δ + V (x) where V is a bounded potential. One is the relationship between a potential and spectral data, and another is the one between the green function of L and periodic orbits of a state space.

AB - We discuss two types of trace formula which arise from the inverse spectral problem for discrete Schrödinger operators as L = -Δ + V (x) where V is a bounded potential. One is the relationship between a potential and spectral data, and another is the one between the green function of L and periodic orbits of a state space.

UR - http://www.scopus.com/inward/record.url?scp=25644448194&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=25644448194&partnerID=8YFLogxK

U2 - 10.2977/prims/1195144826

DO - 10.2977/prims/1195144826

M3 - Article

AN - SCOPUS:25644448194

VL - 34

SP - 27

EP - 41

JO - Publications of the Research Institute for Mathematical Sciences

JF - Publications of the Research Institute for Mathematical Sciences

SN - 0034-5318

IS - 1

ER -