Abstract
Two classes of 2×2 matrix symbols involving oscillatory functions are considered, one of which consists of triangular matrices. An equivalence theorem is obtained, concerning the solution of Riemann-Hilbert problems associated with each of them. Conditions for existence of canonical generalized factorization are established, as well as boundedness conditions for the factors. Explicit formulas are derived for the factors, showing in particular that only one of the columns needs to be calculated. The results are applied to solving a corona problem.
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Câmara, M.C., dos Santos, A.F. Wiener-Hopf factorization for a class of oscillatory symbols. Integr equ oper theory 36, 409–432 (2000). https://doi.org/10.1007/BF01232738
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DOI: https://doi.org/10.1007/BF01232738