Doubly invariant subspaces of the Besicovitch space

Sasane, Amol ORCID: 0000-0001-5566-9877 (2022) Doubly invariant subspaces of the Besicovitch space. Methods of Functional Analysis and Topology,, 28 (2). 150 - 156. ISSN 1029-3531

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Abstract

A classical result of Norbert Wiener characterises doubly shift-invariant 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:	12 Dec 2024 02:56
URI:	http://eprints.lse.ac.uk/id/eprint/114469

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