Titlebook: Analysis on h-Harmonics and Dunkl Transforms; Feng Dai,Yuan Xu,Sergey Tikhonov Textbook 2015 Springer Basel 2015 Dunkl transforms.h-harmon

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,Littlewood–Paley Theory and the Multiplier Theorem,The main result of this chapter is a Marcinkiewitcz multiplier theorem for .-harmonic expansions. Its proof uses general Littlewood–Paley theory for a symmetric diffusion semi-group. Several Littlewood–Paley type .-functions are introduced and studied via the Cesàro means for .-harmonic expansions.

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Feng Dai,Yuan Xu,Sergey TikhonovFocusses on the analysis side of h-harmonics and Dunkl transforms.Written in a concise yet informative style.No previous knowledge on reflection groups required

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Advanced Courses in Mathematics - CRM Barcelonahttp://image.papertrans.cn/a/image/156479.jpg

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https://doi.org/10.1007/978-1-349-11527-3chapter we study the Dunkl transform from the point of view of harmonic analysis. In Section 6.1 we show that the Dunkl transform is an isometry in . space with respect to the measure . on . and it preserves Schwartz class of functions.

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