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

58 mins 37 secs,  853.89 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.94 Mbits/sec
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About this item
Description: Spitkovsky, I
Tuesday 13th August 2019 - 09:00 to 10:00
 
Created: 2019-08-14 11:32
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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