Loops in SU(2) and factorization

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Abstract

We discuss analytic issues associated with a refinement of triangular factorization for the loop group of SU(2). This factorization is of interest because (1) Toeplitz determinants factor in the associated coordinates, and (2) the factorization is intimately related to the critical degree of smoothness for loops, W1/2,L2.

Original languageEnglish (US)
Pages (from-to)2191-2221
Number of pages31
JournalJournal of Functional Analysis
Volume260
Issue number8
DOIs
StatePublished - Apr 15 2011

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Keywords

  • Determinant
  • Factorization
  • Loop group
  • Toeplitz operator

ASJC Scopus subject areas

  • Analysis

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