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Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions

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Topics in Operator Theory

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 202))

Abstract

Explicit factorization formulas are established for triangular almost periodic matrix functions with trinomial off diagonal terms in the so-called borderline cases. An application to a more general configuration via the Portuguese transformation also is given.

The work was partially supported by the SEP-CONACYT Project 25564 (Yuri Karlovich) and NSF grant DMS-0456625 (Ilya Spitkovsky).

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References

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Communicated by L. Rodman.

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Karlovich, Y.I., Spitkovsky, I.M. (2010). Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions. In: Topics in Operator Theory. Operator Theory: Advances and Applications, vol 202. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0158-0_19

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