Doubly invariant subspaces of the Besicovitch space

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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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
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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