The asymptotic distribution of the eigenvalues for a class of Markov operators
From MaRDI portal
Publication:771071
DOI10.2140/pjm.1959.9.399zbMath0086.33901OpenAlexW2056738242MaRDI QIDQ771071
R. M. Blumenthal, Ronald Getoor
Publication date: 1959
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2140/pjm.1959.9.399
Related Items
Asymptotic estimate of eigenvalues of pseudo-differential operators in an interval, BOUNDS FOR THE EIGENVALUES OF THE FRACTIONAL LAPLACIAN, Integration by parts and Pohozaev identities for space-dependent fractional-order operators, The Cauchy process and the Steklov problem, Two-term spectral asymptotics for the Dirichlet pseudo-relativistic kinetic energy operator on a bounded domain, Fractional Cahn-Hilliard, Allen-Cahn and porous medium equations, Spectral gap for stable process on convex planar double symmetric domains, Spectral functions of subordinate Brownian motion on closed manifolds:, Moment bounds for some fractional stochastic heat equations on the ball, Lower bounds for fractional Laplacian eigenvalues, Universal bounds for fractional Laplacian on a bounded open domain in \({\mathbb{R}}^n \), Level of noises and long time behavior of the solution for space-time fractional SPDE in bounded domains, Limited regularity of solutions to fractional heat and Schrödinger equations, Moment bounds of a class of stochastic heat equations driven by space-time colored noise in bounded domains, Fractional‐order operators on nonsmooth domains, Space-time fractional diffusion on bounded domains, On the regularity and simplicity of a class of fractional elliptic operators, Infinitely divisible central probability measures on compact Lie groups-regularity, semigroups and transition kernels, Green’s formula and a Dirichlet-to-Neumann operator for fractional-order pseudodifferential operators, Sharper estimates on the eigenvalues of Dirichlet fractional Laplacian, Trace estimates for stable processes, Sharp boundary behaviour of solutions to semilinear nonlocal elliptic equations, Spectral properties of the Dirichlet operator $\sum _{i=1}^{d}(-\partial _i^2)^{s}$∑i=1d(−∂i2)s on domains in d-dimensional Euclidean space, A short proof of Weyl's law for fractional differential operators, Eigenvalue gaps for the Cauchy process and a Poincaré inequality, On the shape of the ground state eigenfunction for stable processes, An improvement to a Berezin-Li-Yau type inequality, Eigenvalues of the Cauchy process on an interval have at most double multiplicity, Regularity of spectral fractional Dirichlet and Neumann problems, Spectral results for mixed problems and fractional elliptic operators, On the decomposition of solutions: from fractional diffusion to fractional Laplacian, Estimates the upper bounds of Dirichlet eigenvalues for fractional Laplacian, Eigenvalues of the fractional Laplace operator in the interval, On the trace of symmetric stable processes on Lipschitz domains, Singular solutions for fractional parabolic boundary value problems, Two-sided eigenvalue estimates for subordinate processes in domains, Refined eigenvalue bounds on the Dirichlet fractional Laplacian, $\alpha $-continuity properties of the symmetric $\alpha $-stable process, ESTIMATES FOR THE SUMS OF EIGENVALUES OF THE FRACTIONAL LAPLACIAN ON A BOUNDED DOMAIN, ONE-DIMENSIONAL QUASI-RELATIVISTIC PARTICLE IN THE BOX, Refined bounds for the eigenvalues of the Klein-Gordon operator, Some Theorems on Stable Processes, Existence of nonnegative solutions for a fractional parabolic equation in the entire space, A parabolic equation for the fractional Laplacian in the entire space: blow-up of nonnegative solutions, First Passage Times for Symmetric Stable Processes in Space, Fractional calculus for power functions and eigenvalues of the fractional Laplacian, Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains, Reaction-diffusion equations with fractional diffusion on non-smooth domains with various boundary conditions, Boundary regularity for the fractional heat equation