On the Matrix Spectral Function of a Generalized Second‐Order Differential Operator in a Ramified Space

DOI10.1002/mana.19992060107zbMath0933.34089OpenAlexW2020011097MaRDI QIDQ3836217

Matthias Weber

Publication date: 29 March 2000

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19992060107

zbMATH Keywords

generalized second-order derivativesgeneralized second-order differential operatormatrix spectral functions

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Spectrum, resolvent (47A10) General spectral theory of ordinary differential operators (34L05) Transition functions, generators and resolvents (60J35)

Cites Work

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• Diffusion processes on graphs and the averaging principle
• Random motion on binary trees
• The equivalence of diffusions on networks to Brownian motion
• Generalized Second-Order Differential Operators, Corresponding Gap Diffusions and Superharmonic Transformations
• On the spectral functions of the string
• On the Reconstruction of a String from Spectral Data
• Diffusion Processes in One Dimension

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