Helson-Beurling theorem and its applications
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Abstract (EN)
In thesis we treat the celebrated Helson-Beurling Theorem which charac- terizes the closed subspaces of L2 which are invariant under the shift operator. We also treat the characterization of invariant subspaces of the Volterra op- erator as an application of Helson-Beurling Theorem due to D. Sarason, char- acterization of multiplication and translation invariant subspaces of L2(R) as an application of Helson-Beurling theorem due to A. Katavolos and S. Power and characterization of multiplication and dilation invariant subspaces of L2(R) as an application of Helson-Beurling theorem due to A. Katavolos and S. Power.
Author
Gizem Taş Pecoraro
Institution
How to Cite
Gizem Taş Pecoraro (Master Thesis). Helson-Beurling theorem and its applications, 2018, Hacettepe University.
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