@inproceedings{23844f6ce6354d46a5f0044b4b0ca0ca,

title = "Almost periodic factorization of 2 × 2 triangular matrix functions: New cases of off diagonal spectrum",

abstract = "Many known results on almost periodic factorization of almost periodic 2 × 2 triangular matrix functions of the form (Formula presented.) are reviewed from a unified point of view, with particular attention to the case when the off diagonal entry is at most a quadrinomial almost periodic function. New results are obtained on almost periodic factorization for off diagonal entry having its Bohr-Fourier spectrum in a union of two shifted grids, i.e., arithmetic progressions, with the same difference, and perhaps an additional point. When specializing these results to the case of off diagonal almost periodic trinomials, new cases of factorability are obtained. The main technical tool is the Portuguese transformation, a known algorithm.",

keywords = "Almost periodic functions, Factorization, Portuguese transformation",

author = "Ashwin Rastogi and Leiba Rodman and Spitkovsky, {Ilya M.}",

year = "2010",

doi = "10.1007/978-3-0346-0158-0_26",

language = "English (US)",

isbn = "9783034601573",

series = "Operator Theory: Advances and Applications",

publisher = "Springer International Publishing",

pages = "469--487",

editor = "Ball, {Joseph A.} and Vladimir Bolotnikov and Leiba Rodman and Spitkovsky, {Ilya M.} and Helton, {J. William}",

booktitle = "Topics in Operator Theory",

note = "19th International Workshop on Operator Theory and its Applications, IWOTA 2008 ; Conference date: 22-07-2008 Through 26-07-2008",

}