Geodesic
Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres
Symmetry, integrability and geometry: methods and applications, Tome 11 (2015) Cet article a éte moissonné depuis la source Math-Net.Ru

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Convolution is an important tool in the construction of positive definite kernels on a manifold. This contribution provides conditions on an $L^2$-positive definite and zonal kernel on the unit sphere of $\mathbb{C}^q$ in order that the kernel can be recovered as a generalized convolution root of an equally positive definite and zonal kernel.
Keywords: positive definiteness; zonal kernels; recovery formula; convolution roots; Zernike or disc polynomials. 
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     author = {Victor S. Barbosa and Valdir A. Menegatto},
     title = {Generalized {Convolution} {Roots} of {Positive} {Definite} {Kernels} {on~Complex} {Spheres}},
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Victor S. Barbosa; Valdir A. Menegatto. Generalized Convolution Roots of Positive Definite Kernels on Complex Spheres. Symmetry, integrability and geometry: methods and applications, Tome 11 (2015). http://geodesic.mathdoc.fr/item/SIGMA_2015_11_a13/

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