Noninvertibility of invariant differential operators on Lie groups of polynomial growth (Q1193063)
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scientific article; zbMATH DE number 61934
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Noninvertibility of invariant differential operators on Lie groups of polynomial growth |
scientific article; zbMATH DE number 61934 |
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Noninvertibility of invariant differential operators on Lie groups of polynomial growth (English)
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27 September 1992
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It is shown that left invariant differential operators on a connected Lie group \(G\) of polynomial growth are not boundedly invertible in \(L^ 2(G,\omega(x)dx)\), where \(dx\) is the right Haar measure and \(\omega(x)\) is a polynomial weight. This should be considered in the context of Levy- Bruhl's use of exponential weights.
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left invariant differential operators
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connected Lie group
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polynomial growth
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0.7539228200912476
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