Generalized Hermite expansions of functions arising from Hardy conditions

Consider a function on ℝ which is -finite. Assume that both and its Dunkl Fourier transform are bounded by for some . We will show that the generalized Hermite coefficients of will have exponential decay.

Bibliographische Detailangaben

Veröffentlicht in:	Advances in pure and applied mathematics (Berlin, Germany) Germany), 2013-04, Vol.4 (1), p.67-91
1. Verfasser:	Parui, Sanjay
Format:	Artikel
Sprache:	eng
Schlagworte:	Dunkl transform Fourier transforms Uncertainty principles
Online-Zugang:	Volltext
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