Eigenfunctions of the Laplacian on rotationally symmetric manifolds
From MaRDI portal
Publication:4211150
DOI10.1090/S0002-9947-98-02354-XzbMath0920.58057WikidataQ125848172 ScholiaQ125848172MaRDI QIDQ4211150
Publication date: 10 September 1998
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
eigenfunctionsharmonic functionsdiffusion processesheat kernelsradial curvaturerotationally symmetric manifoldssubordination measure
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Probabilistic potential theory (60J45)
Related Items
On the asymptotics of solutions of elliptic equations at the ends of non-compact Riemannian manifolds with metrics of a special form, The $L^2$-harmonic forms on rotationally symmetric Riemannian manifolds revisited
Cites Work
- Unnamed Item
- Unnamed Item
- Function theory on manifolds which possess a pole
- Brownian motion and harmonic functions on rotationally symmetric manifolds
- Finite propagation speed, kernel estimates for functions of the Laplace operator, and the geometry of complete Riemannian manifolds
- On the heat kernel of a complete Riemannian manifold
- Visibility manifolds
- The parabolic differential equations and the associated semigroups of transformation
- Asymptotic Dirichlet Problems for Harmonic Functions on Riemannian Manifolds
- Functional Integration and Partial Differential Equations. (AM-109)
- A lower bound for the heat kernel
- On Deciding Whether a Surface is Parabolic or Hyperbolic
- Eigenfunctions of the Laplacian and boundary behaviour on manifolds of hyperbolic type
- Eigenfunction Expansions Associated With Singular Differential Operators