Sobolev type spaces asociated with the Weinstein operator (Q2906122)

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scientific article; zbMATH DE number 6073395
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Sobolev type spaces asociated with the Weinstein operator
scientific article; zbMATH DE number 6073395

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    28 August 2012
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    Weinstein operator
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    Sobolev spaces
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    pseudo-differential operators
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    Sobolev type spaces asociated with the Weinstein operator (English)
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    The authors discuss the Sobolev spaces associated with the Weinstein operator and investigate their properties. The key in this paper is that they introduce the so-called Fourier-Weinstein transform in Definition 1. Such a Weinstein operator makes a role similar to general differential operators in some sense. It seems that they should have some other further applications.
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