NON-SELF-ADJOINT EXTENSIONS OF THE LÉVY–LAPLACIAN AND THE LÉVY–LAPLACE EQUATION

DOI10.1142/S0219025706002238zbMath1104.35067MaRDI QIDQ5468904

O. O. Obrezkov

Publication date: 3 May 2006

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

zbMATH Keywords

spectrumrigged Hilbert spaceLévy-Laplacian eigenvaluesnon selfadjoint extensions of the Lévy-Laplacian

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) Spectrum, resolvent (47A10) Eigenvalue problems for linear operators (47A75) Transition functions, generators and resolvents (60J35) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Non-abelian Stokes formula
• Lévy Laplacian of generalized functions on a nuclear space
• SMOOTH PROBABILITY MEASURES AND ASSOCIATED DIFFERENTIAL OPERATORS

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