Annihilating properties of convolution operators on complex spheres |
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| Authors: | V A Menegatto C P Oliveira |
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| Institution: | (1) Departamento de Matemática, ICMC-USP, São Carlos, Caixa Postal 668, 13560-970 São Carlos SP, Brasil;(2) Universidade Federal de Itajubá, ICI-DMC, Caixa Postal 50, 37500-903 Itajubá MG, Brasil |
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| Abstract: | Summary This paper studies annihilating properties of operators generated by spherical convolution over the unit sphere  2q of Cq. Its specific aim is to answer the following question: given a complex number  , || 1, to determine what functions of L2(2q) have zero average over every section w,q :={ z  2q: <z,w> = } of 2q . Here, <.,.>stands for the usual inner product of Cq. |
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