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Weyl transforms associated with the Riemann-Liouville operator

N. B. Hamadi and L. T. Rachdi

International Journal of Mathematics and Mathematical Sciences, 2006, vol. 2006, 1-19

Abstract:

For the Riemann-Liouville transform ℛ α , α ∈ ℝ + , associated with singular partial differential operators, we define and study the Weyl transforms W σ connected with ℛ α , where σ is a symbol in S m , m ∈ ℝ . We give criteria in terms of σ for boundedness and compactness of the transform W σ .

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:094768

DOI: 10.1155/IJMMS/2006/94768

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