Applications of weighted Laguerre transplantation theorems (Q1582338)

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scientific article; zbMATH DE number 1513200
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Applications of weighted Laguerre transplantation theorems
scientific article; zbMATH DE number 1513200

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    Applications of weighted Laguerre transplantation theorems (English)
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    3 October 2000
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    The authors give some interesting contributions to the theory of Hermite and Laguerre multipliers. Using the weighted transplantation theorem for Laguerre multipliers they derive the characterization of one-dimensional Hermite multipliers. Then an extension theorem for Laguerre multipliers is proved. Finally backward differences are used to obtain necessary conditions for Laguerre multipliers.
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    Laguerre polynomials
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    Hermite polynomials
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    multipliers
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    transplantation theorems
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