Essential self-adjointness, generalized eigenforms, and spectra for the \(\bar {\partial}\)-Neumann problem on G-manifolds
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Publication:647593
DOI10.1016/j.jfa.2011.07.010zbMath1257.58020arXiv1101.1863OpenAlexW1566025885MaRDI QIDQ647593
Publication date: 24 November 2011
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1101.1863
Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) (overlinepartial) and (overlinepartial)-Neumann operators (32W05)
Related Items
Heat kernel estimates for the \({{\bar{\partial}}}\)-Neumann problem on \(G\)-manifolds, Bergman spaces of natural \(G\)-manifolds
Cites Work
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- Heat kernel estimates for the \({{\bar{\partial}}}\)-Neumann problem on \(G\)-manifolds
- Unitary representations of unimodular Lie groups in Bergman spaces
- Analytic Dirac approximation for real linear algebraic groups
- Uniformly elliptic operators on Riemannian manifolds
- Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary
- The \(G\)-Fredholm property of the \(\bar{\partial}\)-Neumann problem
- Subelliptic estimates for the \({\bar \partial}\)-Neumann problem on pseudoconvex domains
- Dual spaces of spaces of differential forms
- Expansions in generalized eigenfunctions of selfadjoint operators
- Curvature, diameter and Betti numbers
- Real hypersurfaces, orders of contact, and applications
- \(L^ p\)-theory of elliptic differential operators on manifolds of bounded geometry
- Introduction to the theory of (non-symmetric) Dirichlet forms
- Self-adjoint operators
- Holomorphic \(L^2\) functions on coverings of pseudoconvex manifolds
- Lectures on the \(L^2\)-Sobolev theory of the \(\bar\partial\)-Neumann problem
- The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Harmonic integrals on strongly pseudo-convex manifolds. II
- The Levi problem on strongly pseudoconvex \(G\)-bundles
- Sch'nol's theorem for strongly local forms
- Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms
- A transversal Fredholm property for the $\bar\partial$-Neumann problem on $G$-bundles
- A dual characterization of length spaces with application to Dirichlet metric spaces
- Eigenfunction expansions for generators of Dirichlet forms
- Pseudolocal estimates for bar partial on general pseudoconvex domains
- Non‐coercive boundary value problems
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
- Caught by disorder. Bound states in random media
- Essential self-adjointness for semi-bounded magnetic Schrödinger operators on non-compact manifolds
