On the Bézout equation in the ring of periodic distributions
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd 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 D'A(Rd) are both e...
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De Gruyter
2016-04-01
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| Series: | Topological Algebra and its Applications |
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| Online Access: | http://www.degruyter.com/view/j/taa.2016.4.issue-1/taa-2016-0001/taa-2016-0001.xml?format=INT |
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doaj-929ad8c8c7c841eb9192fd539404d8792021-10-02T12:23:13ZengDe GruyterTopological Algebra and its Applications2299-32312016-04-014110.1515/taa-2016-0001taa-2016-0001On the Bézout equation in the ring of periodic distributionsRupp Rudolf0Sasane Amol1Fakultät für Angewandte Mathematik, Physik und Allgemeinwissenschaften, TH-Nürnberg, Kesslerplatz 12, D- 90489 Nürnberg, GermanyDepartment of Mathematics, London School of Economics, Houghton Street, London WC2A 2AE, United KingdomA corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd 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 D'A(Rd) are both equal to 1.http://www.degruyter.com/view/j/taa.2016.4.issue-1/taa-2016-0001/taa-2016-0001.xml?format=INTperiodic distributions Fourier series Bass stable rank topological stable rankBézout equation |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Rupp Rudolf Sasane Amol |
| spellingShingle |
Rupp Rudolf Sasane Amol On the Bézout equation in the ring of periodic distributions Topological Algebra and its Applications periodic distributions Fourier series Bass stable rank topological stable rank Bézout equation |
| author_facet |
Rupp Rudolf Sasane Amol |
| author_sort |
Rupp Rudolf |
| title |
On the Bézout equation in the ring of periodic
distributions |
| title_short |
On the Bézout equation in the ring of periodic
distributions |
| title_full |
On the Bézout equation in the ring of periodic
distributions |
| title_fullStr |
On the Bézout equation in the ring of periodic
distributions |
| title_full_unstemmed |
On the Bézout equation in the ring of periodic
distributions |
| title_sort |
on the bézout equation in the ring of periodic
distributions |
| publisher |
De Gruyter |
| series |
Topological Algebra and its Applications |
| issn |
2299-3231 |
| publishDate |
2016-04-01 |
| description |
A corona type theorem is given for the ring D'A(Rd) of periodic distributions in Rd 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 D'A(Rd) are both equal to 1. |
| topic |
periodic distributions Fourier series Bass stable rank topological stable rank Bézout equation |
| url |
http://www.degruyter.com/view/j/taa.2016.4.issue-1/taa-2016-0001/taa-2016-0001.xml?format=INT |
| work_keys_str_mv |
AT rupprudolf onthebezoutequationintheringofperiodicdistributions AT sasaneamol onthebezoutequationintheringofperiodicdistributions |
| _version_ |
1716855869932568576 |