Multipliers for the Weyl transform and Laguerre expansions

Thangavelu, S. (1990) Multipliers for the Weyl transform and Laguerre expansions Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 100 (1). pp. 9-20. ISSN 0253-4142

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Official URL: http://www.ias.ac.in/j_archive/mathsci/100/1/9-20/...

Related URL: http://dx.doi.org/10.1007/BF02881109

Abstract

Let Pk denote the projection of L2(Rn) onto the kth eigenspace of the operator (-δ+│x│2) and SNα = (1/ANα) ΣkN =0 ANα-k Pk . We study the multiplier transform TNα for the Weyl transform W defined by W(TNαƒ) = SN α W(ƒ) . Applications to Laguerre expansions are given.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Weyl Transform; Multipliers; Twisted Convolution; Osciallatory Singular Integrals; Laguerre Expansions; Summability
ID Code:53580
Deposited On:09 Aug 2011 11:37
Last Modified:18 May 2016 06:39

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