Wiener-Hopf factorization: the peculiarities of the matrix almost periodic case
Duration: 58 mins 37 secs
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Description: |
Spitkovsky, I
Tuesday 13th August 2019 - 09:00 to 10:00 |
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Created: | 2019-08-14 11:32 |
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Collection: | Factorisation of matrix functions: New techniques and applications |
Publisher: | Isaac Newton Institute |
Copyright: | Spitkovsky, I |
Language: | eng (English) |
Abstract: | 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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