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Spatially nontemperate pseudodifferential operators, sphere extensions and Fredholm theory - MaRDI portal

Spatially nontemperate pseudodifferential operators, sphere extensions and Fredholm theory (Q1898330)

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scientific article; zbMATH DE number 796937
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Spatially nontemperate pseudodifferential operators, sphere extensions and Fredholm theory
scientific article; zbMATH DE number 796937

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    Spatially nontemperate pseudodifferential operators, sphere extensions and Fredholm theory (English)
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    13 February 1996
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    The author studies an interesting relation between two main approaches to the global study of pseudodifferential operators on the Euclidean \(n\)- space \(\mathbb{R}^n\); the calculus method [cf. \textit{L. Hörmander}, `The analysis of linear partial differential operators', Vol. I (1983; Zbl 0521.35001), Vol. II (1983; Zbl 0521.35002), Vol. III (1985; Zbl 0601.35001), Vol. IV (1985; Zbl 0612.35001)]\ and the Gelfand theory method [cf. \textit{H. O. Cordas}, `Spectral theory of linear differential operators and comparison algebras' (1987; Zbl 0727.35092)].
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    pseudodifferential operators
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    sphere extensions
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    Fredholm theory
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    weight function
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    \(C^*\)-algebra
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