A functional calculus and restriction theorem on H-type groups (Q505543)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A functional calculus and restriction theorem on H-type groups |
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A functional calculus and restriction theorem on H-type groups (English)
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26 January 2017
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The authors consider a class of invariant differential operators by the joint functional calculus of a sublaplacian \(L\) and a partial laplacian \(T\) on an \(H\)-type group. There are established Stein-Tomas type restriction theorems for these operators. In particular, the asymptotic behaviors of restriction estimates are given.
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\(H\)-type group
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scaled special Hermite expansion
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joint functional calculus
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restriction operator
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