Trace formula for fourth order operators on the circle

2013/07/04 by Andrey Badanin, Badanin, Andrey, Evgeny Korotyaev +1
Mathematics · Physics and Astronomy · #34L20 #47E05 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:34L20 #msc:47E05

paper · pdf · doi:10.48550/arxiv.1307.1269

9 pages

arxiv created 2013/07/04 · arxiv updated 2013/07/05

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.

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