On the Bezout equation in the ring of periodic distributions

Rupp, Rudolf; and Sasane, AmolORCID logo (2016) On the Bezout equation in the ring of periodic distributions Topological Algebra and its Applications, 4 (1). pp. 1-8. ISSN 2299-3231
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A corona type theorem is given for the ring R of periodic distributions in R^d in terms of the sequence of Fourier coefficients of these distributions, which have at most polynomial growth. It is also shown that the Bass stable rank and the topological stable rank of R are both equal to 1.
Item Type Article
Copyright holders © 2016 The Authors © CC BY-NC-ND 3.0
Keywords periodic distributions, Fourier series, Bass stable rank, topological stable rank, Bézout equation
Departments Mathematics
DOI 10.1515/taa-2016-0001
Date Deposited 04 Nov 2015 09:54
Acceptance Date 2015-10-18
URI https://researchonline.lse.ac.uk/id/eprint/64316

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