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  • 1
    Electronic Resource
    Electronic Resource
    Wiener-Hopf factorization for a class of oscillatory symbols (2000)
    Springer
    Integral equations and operator theory 36 (2000), S. 409-432 
    Details
    ISSN: 1420-8989
    Keywords: 45E10 ; 47B35
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01232738
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