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Algebra i Analiz, 2019, Volume 31, Issue 1, Pages 143–155 (Mi aa1632)  
Research Papers

Gram matrices of reproducing kernel Hilbert spaces over graphs IV. (Quadratic inequalities for graph Laplacians)

M. Setoa, S. Sudab

a National Defense Academy, Yokosuka 239-8686, Japan
b Aichi University of Education, Kariya 448-8542, Japan
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Abstract: We study the relationship between a graph and its subgraph from a viewpoint of functional analysis. As an application of the theory of quasi-orthogonal integrals developed by de Branges–Rovnyak and Vasyunin–Nikol'skiĭ, quadratic inequalities for graph Laplacians are given.
Keywords: graph, Laplacian, quasi-orthogonal integral.
Funding agency Grant number
Japan Society for the Promotion of Science 15K04926
This research was supported by JSPS KAKENHI Grant Number 15K04926.
Received: 22.11.2017
English version:
St. Petersburg Mathematical Journal, 2020, Volume 31, Issue 1, Pages 107–116
DOI: https://doi.org/10.1090/spmj/1588
Bibliographic databases:
Document Type: Article
MSC: 34B45
Language: English
Citation: M. Seto, S. Suda, “Gram matrices of reproducing kernel Hilbert spaces over graphs IV. (Quadratic inequalities for graph Laplacians)”, Algebra i Analiz, 31:1 (2019), 143–155; St. Petersburg Math. J., 31:1 (2020), 107–116
Citation in format AMSBIB
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