Harmonic analysis for resistance forms
By Jun Kigami. 2003
167 citations recorded by the source corpus.
Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/9b77db35288a0ad02d73f095800a39394b4bce8b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Civil and Structural Engineering
- Daniel Lenz
- Matthias Keller
- Agelos Georgakopoulos
- Radoslaw K. Wojciechowski
- Sebastian Haeseler
- Palle E. T. Jorgensen
- Erin P. J. Pearse
In Computational Theory and Mathematics
- Matthias Keller
- Daniel Lenz
- Alexander Grigorʼyan
- Radoslaw K. Wojciechowski
- Sebastian Haeseler
- Alexander Teplyaev
- Michael Hinz
- Palle E. T. Jorgensen
In Statistics and Probability
- Jiaxin Hu
- Palle E. T. Jorgensen
- Erin P. J. Pearse
- Ka-Sing Lau
- Alexander Grigorʼyan
- Matthias Keller
- Radoslaw K. Wojciechowski
- Daniel Lenz
Citations in the corpus
- Graphs of finite measure (2013, methodology): “In this context, we also highlight Kigami’s work [38, 39], which gives a treatment of Dirichlet forms on (metric) graphs centered around the resistance metric.”
- A Hilbert Space Approach to Effective Resistance Metric (2009, methodology): “For example, there is no reference to space of functions defined on the edges of G as in [34], and there is no use of potential-theoretic methods, as in [29].”
- Estimates of heat kernels for non-local regular Dirichlet forms (2014, background): “the definition at the beginning of Section 6 as well as [27], [28], [29]).”
- Vector analysis for Dirichlet forms and quasilinear PDE and SPDE on metric measure spaces (2012, background): “It also holds if (E ,F) is induced by a regular resistance form [37, 38, 40] and is subject to Dirichlet boundary conditions.”