Browsing 2009 by MSC "46"

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Classification of idempotent states on the compact quantum groups Uq(2), SUq(2) and SOq(3)

[OWP-2009-08] Franz, Uwe; Skalski, Adam; Tomatsu, Reiji (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-02)

We give a simple characterisation of those idempotent states on compact quantum groups which arise as Haar states on quantum subgroups, show that all idempotent states on quantum groups $U_q(2)$ , $SU_q(2)$ , and $SO_q(3) ...
Weighted Fourier inequalities for radial functions

[OWP-2009-26] Gorbachev, D.; Liflyand, E.; Tichonovič, S. V. (Mathematisches Forschungsinstitut Oberwolfach, 2009-03-19)

Weighted $L^p(\mathbb{R}^n) \to L^q(\mathbb{R}^n)$ Fourier inequalities are studied. We prove Pitt-Boas type results on integrability with power weights of the Fourier transform of a radial function.