Generalized Eigenfunctions and Spectral Theory for Strongly Local Dirichlet Forms
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Publication:2909358
DOI10.1007/978-3-7643-9994-8_6zbMath1248.35133arXiv0909.1107OpenAlexW2143008637WikidataQ59311987 ScholiaQ59311987MaRDI QIDQ2909358
Peter Stollmann, Ivan Veselić, Daniel H. Lenz
Publication date: 30 August 2012
Published in: Spectral Theory and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0909.1107
General topics in linear spectral theory for PDEs (35P05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)
Related Items (8)
Generalized eigenfunctions and eigenvalues: a unifying framework for Shnol-type theorems ⋮ Global properties of Dirichlet forms in terms of Green's formula ⋮ Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials ⋮ Besov class via heat semigroup on Dirichlet spaces. II: BV functions and Gaussian heat kernel estimates ⋮ Essential self-adjointness, generalized eigenforms, and spectra for the \(\bar {\partial}\)-Neumann problem on G-manifolds ⋮ Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces ⋮ Generalized Solutions and Spectrum for Dirichlet Forms on Graphs ⋮ Sequences of Laplacian cut-off functions
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