Mean convergence of Fourier–Dunkl series
Journal of Mathematical Analysis and Applications(2010)
摘要
In the context of the Dunkl transform a complete orthogonal system arises in a very natural way. This paper studies the weighted norm convergence of the Fourier series expansion associated to this system. We establish conditions on the weights, in terms of the Ap classes of Muckenhoupt, which ensure the convergence. Necessary conditions are also proved, which for a wide class of weights coincide with the sufficient conditions.
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关键词
Dunkl transform,Fourier–Dunkl series,Orthogonal system,Mean convergence
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