Multipliers for the Weyl transform and Laguerre expansions |
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Authors: | S Thangavelu |
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Institution: | 1. TIFR Centre, IISc Campus, 560 012, Bangalore, India
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Abstract: | Let Pk denote the projection of L2(R R ) onto the kth eigenspace of the operator (-δ+?x?2 andS N α =(1/A N α )Σ k N =0A N?k α P k . We study the multiplier transformT N α for the Weyl transform W defined byW(T N αf )=S n αW(f) . Applications to Laguerre expansions are given. |
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