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Trace formula for fourth order operators on the circle

Mathematical Physics 2013-07-05 v1 math.MP

Abstract

We determine the trace formula for the fourth order operator on the circle. This formula is similar to the famous trace formula for the Hill operator obtained by Dubrovin, Its-Matveev and McKean-van Moerbeke.

Cite

@article{arxiv.1307.1269,
  title  = {Trace formula for fourth order operators on the circle},
  author = {Andrey Badanin and Evgeny Korotyaev},
  journal= {arXiv preprint arXiv:1307.1269},
  year   = {2013}
}

Comments

9 pages

R2 v1 2026-06-22T00:45:26.217Z