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

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WHTW01 - Factorisation of matrix functions: New techniques and applications

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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