Sasane, Amol (2022) Doubly invariant subspaces of the Besicovitch space. Methods of Functional Analysis and Topology,. ISSN 1029-3531 (In Press)
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Text (Doubly invariant subspaces of the Besicovitch space)
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Abstract
A classical result of Norbert Wiener characterises doubly shiftinvariant subspaces for square integrable functions on the unit circle with respect to a finite positive Borel measure µ, as being the ranges of the multiplication maps corresponding to the characteristic functions of µ-measurable subsets of the unit circle. An analogue of this result is given for the Besicovitch Hilbert space of ‘square integrable almost periodic functions’.
Item Type: | Article |
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Official URL: | http://mfat.imath.kiev.ua/ |
Additional Information: | © 2022 The Author |
Divisions: | Mathematics |
Subjects: | Q Science > QA Mathematics |
Date Deposited: | 25 Mar 2022 10:27 |
Last Modified: | 08 Jul 2022 15:27 |
URI: | http://eprints.lse.ac.uk/id/eprint/114469 |
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