Operators, Functions, and Systems: An Easy Reading

By N. Nikolski. 2002

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Polya sequences, Toeplitz kernels and gap theorems (2009, background): “These subspaces play a prominent role in complex and harmonic analysis, as well as in operator theory, see [18, 19].”
Uniqueness (2021, neutral): “In particular, this domain might reﬂect conserved quantities (such as mass or energy) or one-sided constraints (e.g. positivity or boundedness).”
Recent Progress on Truncated Toeplitz Operators (2011, methodology): “This equivalence was then used in conjunction with Beurling’s Theorem to demonstrate the unicellularity of LatV [78, 79, 84, 86].”