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Wiener-Hopf factorization: the peculiarities of the matrix almost periodic case

Presented by: 
Ilya Spitkovsky
Tuesday 13th August 2019 - 09:00 to 10:00
INI Seminar Room 1
For several classes  of  functions invertibility and factorability are equivalent; such is the case, e.g., for the Wiener class W or the algebra APW of almost periodic functions with absolutely convergent Bohr-Fourier series. The result for W extends to the matrix setting; not so for APW. Moreover, the factorability criterion even for 2-by-2 triangular matrix functions with APW entries and constant determinant remains a mystery. We will discuss some known results in this direction, and more specific open problems.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons