Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017
type: Item
instance of: scholarly article
title: Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017
zbMATH Open document ID: 1409.00082
DOI: 10.4171/OWR/2017/49
published in: Oberwolfach Reports
publication date: 2019-03-15T00:00:00Z
review text: Summary: Reflectionless operators in one dimension are particularly amenable to inverse scattering and are intimately related to integrable systems like KdV and Toda. Recent work has indicated a strong (but not equivalent) relationship between reflectionless operators and almost periodic potentials with absolutely continuous spectrum. This makes the realm of reflectionless operators a natural place to begin addressing Deift's conjecture on integrable flows with almost periodic initial conditions and Simon's conjecture on gems of spectral theory establishing correspondences between certain coefficient and spectral properties.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B15
Mathematics Subject Classification ID: 47B36
Mathematics Subject Classification ID: 47A55
Mathematics Subject Classification ID: 35-06
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 7036449
Wikidata QID: Q123308438
describes a project that uses: Genius
describes a project that uses: Proof General
describes a project that uses: numericaluniversality
MaRDI profile type: Publication
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Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017 (full work available at URL)
full work available at URL: https://doi.org/10.4171/owr/2017/49

Mini-workshop: Reflectionless operators: the Deift and Simon conjectures. Abstracts from the mini-workshop held October 22--28, 2017 (OpenAlex ID)
OpenAlex ID: W2905241939