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The algebra of these finite sections satisfies a set of axioms (standard model) that ensures some asymptotic properties like the convergence of the condition numbers, singular values, <jats:italic>\u03b5<\/jats:italic>\u2010pseudospectrum and also gives a relation between the singular values of an approximation sequence and the kernel dimensions of a set of associated operators. This approach furnishes a method to determine whether a Fredholm convolution operator on a cone is invertible. (\u00a9 2005 WILEY\u2010VCH Verlag GmbH &amp; Co. KGaA, Weinheim)<\/jats:p>","DOI":"10.1002\/mana.200310241","type":"journal-article","created":{"date-parts":[[2005,1,4]],"date-time":"2005-01-04T12:47:23Z","timestamp":1104842843000},"page":"290-311","source":"Crossref","is-referenced-by-count":2,"title":["Convolution type operators on cones and their finite sections"],"prefix":"10.1002","volume":"278","author":[{"given":"Helena","family":"Mascarenhas","sequence":"first","affiliation":[]},{"given":"Bernd","family":"Silbermann","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2005,1,4]]},"reference":[{"issue":"2","key":"e_1_2_1_2_2","first-page":"207","article-title":"Two dimensional convolutions in corners with kernels having support in a half\u2010plane","volume":"34","author":"B\u00f6ttcher A.","year":"1983","journal-title":"Mat. 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