On the concentration of the Fourier coefficients for products of Laplace-Beltrami eigenfunctions on real-analytic manifolds
DOI10.1016/j.jfa.2024.110792MaRDI QIDQ6660802
François Pagano, Philippe Charron
Publication date: 10 January 2025
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Elliptic equations on manifolds, general theory (58J05) Cauchy-Kovalevskaya theorems (35A10) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Representations of solutions to partial differential equations (35C99)
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