On the Bezout equation in the ring of periodic distributions

2015/06/04 by Rudolf Rupp, Rupp, Rudolf, Amol Sasane +1
Mathematics · #18F25 #55N15 #FOS: Mathematics #Functional Analysis (math.FA) #K-Theory and Homology (math.KT) #Primary 46F05 #Rings and Algebras (math.RA) #Secondary 42B05 #math.FA #math.KT #math.RA #msc:18F25 #msc:42B05 #msc:46F05 #msc:55N15

paper · pdf · doi:10.48550/arxiv.1506.01504

10 pages

arxiv created 2015/06/04 · arxiv updated 2015/06/05

Abstract

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.

Related

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• Ideals in the convolution algebra of periodic distributions
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