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• W2000200506 abstract "We obtain explicit formulas for the eigenvalues of integral operators generated by continuous dot product kernels defined on the sphere via the usual gamma function. Using them, we present both, a procedure to describe sharp bounds for the eigenvalues and their asymptotic behavior near 0. We illustrate our results with examples, among them the integral operator generated by a Gaussian kernel. Finally, we sketch complex versions of our results to cover the cases when the sphere sits in a Hermitian space." @default.
• W2000200506 created "2016-06-24" @default.
• W2000200506 creator A5054878017 @default.
• W2000200506 creator A5063484389 @default.
• W2000200506 date "2014-01-01" @default.
• W2000200506 modified "2023-09-26" @default.
• W2000200506 title "Sharp estimates for eigenvalues of integral operators generated by dot product kernels on the sphere" @default.
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• W2000200506 doi "https://doi.org/10.1016/j.jat.2013.10.002" @default.
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