ar X iv : 0 90 4 . 36 08 v 1 [ m at h . C A ] 2 3 A pr 2 00 9 THREE RESULTS IN DUNKL ANALYSIS
نویسنده
چکیده
In this article, we establish first a geometric Paley–Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the L p → L norm of Dunkl translations in dimension 1. Finally we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
منابع مشابه
ar X iv : 0 90 7 . 41 78 v 1 [ m at h . PR ] 2 3 Ju l 2 00 9 An Introduction to Stochastic PDEs
2 Some Motivating Examples 2 2.1 A model for a random string (polymer) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2.2 The stochastic Navier-Stokes equations . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.3 The stochastic heat equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.4 What have we learned? . . . . . . . . . . . . . . . . . . . . . ...
متن کاملar X iv : 0 90 4 . 09 09 v 1 [ m at h . FA ] 6 A pr 2 00 9 On Sobolev extension domains in R
We describe a class of Sobolev W k p -extension domains Ω ⊂ R n determined by a certain inner subhyperbolic metric in Ω. This enables us to characterize finitely connected Sobolev W 1 p -extension domains in R 2 for each p > 2 .
متن کاملar X iv : 0 90 4 . 23 13 v 1 [ m at h . FA ] 1 5 A pr 2 00 9 A DISCRETIZED APPROACH TO W . T . GOWERS ’ GAME
We give an alternative proof of W.T. Gowers' theorem on block bases in Banach spaces by reducing it to a discrete analogue on specific count-able nets.
متن کاملar X iv : 0 90 4 . 31 78 v 1 [ m at h . FA ] 2 1 A pr 2 00 9 TREE METRICS AND THEIR LIPSCHITZ - FREE SPACES
We compute the Lipschitz-free spaces of subsets of the real line and characterize subsets of metric trees by the fact that their Lipschitz-free space is isometric to a subspace of L1.
متن کاملar X iv : 0 90 4 . 21 99 v 1 [ m at h . L O ] 1 4 A pr 2 00 9 Independence - revision and defaults ∗
We investigate different aspects of independence here, in the context of theory revision, generalizing slightly work by Chopra, Parikh, and Rodrigues, and in the context of preferential reasoning.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2009