Eigenvalue decay of positive integral operators on compact two-point\n homogeneous spaces

2013/07/15 by M. H. Castro, Castro, Mario H.
Computer Science · Mathematics · #34L15 #43A85 #45P05 #47A13 #47A75 #47B34 #47B38 #47G10 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1307.3916

openalex publication_date 2013/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We generalize and extend results on decay rates of singular values or\neigenvalues of positive integral operators from unit spheres to two-point\nhomogeneous spaces. The rates we present depend upon the order of the\nLaplace-Beltrami operator used to define the smoothness conditions on\ngenerating kernels, the Schatten class containing the integral operator\ngenerated by the derivative of the generating kernel and the dimension of the\nspace.\n

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