Spectrum of the complex Laplacian on product domains

DOI10.1090/S0002-9939-10-10522-XzbMath1225.32039arXiv0911.3451OpenAlexW2073326364MaRDI QIDQ4929988

Debraj Chakrabarti

Publication date: 27 September 2010

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

Full work available at URL: https://arxiv.org/abs/0911.3451

zbMATH Keywords

spectrumcomplex Laplacianproduct of Hermitian manifolds

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Condition R and proper holomorphic maps between equidimensional product domains ⋮ Condition R and holomorphic mappings of domains with generic corners ⋮ The Cauchy-Riemann equations on product domains ⋮ On some spectral properties of the weighted \(\overline\partial\)-Neumann operator ⋮ Essential spectra of tensor product Hilbert complexes and the \(\overline{\partial}\)-Neumann problem on product manifolds ⋮ On the $L^2$-Dolbeault cohomology of annuli ⋮ A class of domains with noncompact \overline{∂}-Neumann operator ⋮ $L^{2}$ Serre duality on domains in complex manifolds and applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Cauchy-Riemann equations on product domains
• Spectral geometry of singular Riemannian spaces
• The \({\overline{\partial}}\)-Neumann problem on product domains in \({\mathbb{C}^{n}}\)
• Hilbert complexes
• Solution of the \(\overline\partial\)-Neumann problem on a bi-disc
• L//2 cohomology of warped products and arithmetic groups
• Spectrum of the $\overline {\partial }$-Neumann Laplacian on polydiscs
• Global Solvability and Regularity for $\overline\partial$ on an Annulus Between Two Weakly Pseudo-Convex Domains
• Solution of the Neumann problem on a non-smooth domain
• What Does the Spectral Theorem Say?
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)