On almost-everywhere convergent eigenfunction expansions of the Laplace–Beltrami operator

DOI10.1017/S0305004100059788zbMath0495.58030MaRDI QIDQ3959159

Christopher Meaney

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

almost-everywhere convergent eigenfunction expansions of the Laplace- Beltrami operatorcompact Riemannian manifold with normalized canonical measure

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (3)

Multiple Fourier series and lattice point problems ⋮ Unnamed Item ⋮ Fourier expansions of functions with bounded variation of several variables

Cites Work

• The spectral function of an elliptic operator
• ON CONVERGENCE OF RIESZ SPHERICAL MEANS OF MULTIPLE FOURIER SERIES
• CONVERGENCE PROBLEMS OF MULTIPLE TRIGONOMETRIC SERIES AND SPECTRAL DECOMPOSITIONS. I
• Unnamed Item

This page was built for publication: On almost-everywhere convergent eigenfunction expansions of the Laplace–Beltrami operator