Journal article
Harmonic Analysis Invariants for Infinite Graphs Via Operators and Algorithms
The Journal of fourier analysis and applications, Vol.27(2), 34
04/01/2021
DOI: 10.1007/s00041-021-09827-0
Abstract
We present recent advances in harmonic analysis on infinite graphs. Our approach combines combinatorial tools with new results from the theory of unbounded Hermitian operators in Hilbert space, geometry, boundary constructions, and spectral invariants. We focus on particular classes of infinite graphs, including such weighted graphs which arise in electrical network models, as well as new diagrammatic graph representations. We further stress some direct parallels between our present analysis on infinite graphs, on the one hand, and, on the other, specific areas of potential theory, probability, harmonic functions, and boundary theory. The limit constructions, finite to infinite, and local to global, can be used in various applications.
Details
- Title: Subtitle
- Harmonic Analysis Invariants for Infinite Graphs Via Operators and Algorithms
- Creators
- Sergey Bezuglyi - University of IowaPalle E. T Jorgensen - University of Iowa
- Resource Type
- Journal article
- Publication Details
- The Journal of fourier analysis and applications, Vol.27(2), 34
- DOI
- 10.1007/s00041-021-09827-0
- ISSN
- 1069-5869
- eISSN
- 1531-5851
- Publisher
- SPRINGER BIRKHAUSER
- Number of pages
- 46
- Language
- English
- Date published
- 04/01/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241151802771
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