About the asymptotic formula for spectral function of the Laplace-Beltrami operator on sphere
Anvarjon Akhmedov
TL;DR
This paper derives the asymptotic behavior of Riesz means for the spectral function of the Laplace-Beltrami operator on the sphere, providing insights into its spectral distribution.
Contribution
It establishes the asymptotic formula for the spectral function's Riesz means on the sphere, advancing understanding of spectral analysis on manifolds.
Findings
Asymptotic behavior of Riesz means derived
Spectral function behavior characterized on the sphere
Provides foundation for further spectral analysis
Abstract
In this work we established asymptotical behavior for Riesz means of the spectral function of the Laplace operator on unit sphere.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · advanced mathematical theories · Algebraic and Geometric Analysis