SOME REMARKS ON HARMONIC PROJECTION OPERATORS ON SPHERES

被引：0

作者：

Casarino, Valentina ^{[1
]}

机构：

[1] Univ Padua, DTG, Stradella san Nicola 3, I-36100 Vicenza, Italy

来源：

BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR | 2016年 / 1卷

关键词：

Complex and quaternionic spheres; subLaplacian; Laplace-Beltrami operator; joint spectral projections; L-p eigenfunction bounds; Jacobi polynomials; Zernike polynomials;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a survey of recent works concerning the mapping properties of joint harmonic projection operators, mapping the space of square integrable functions on complex land quaternionic spheres onto the eigenspaces of the Laplace-Beltrami operator and of a suitably defined subLaplacian. In particular, we discuss similarities and differences between the real, the complex and the quaternionic framework.

引用

页码：1 / 17

页数：17

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