Szegö Limit Theorems on the Sierpiński Gasket

Kasso A. Okoudjou, Luke G. Rogers, Robert S. Strichartz

Type: Article

Publication Date: 2009-10-14

Citations: 11

DOI: https://doi.org/10.1007/s00041-009-9102-0

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Locations

Journal of Fourier Analysis and Applications - View
arXiv (Cornell University) - View - PDF

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+	Some spectral properties of pseudo-differential operators on the Sierpiński gasket	2016	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+ PDF Chat	Nontangential Limits and Fatou-Type Theorems on Post-Critically Finite Self-Similar Sets	2011	Ricardo A. Sáenz
+ PDF Chat	Spectral Analysis Beyond $$\ell ^2$$ on Sierpinski Lattices	2021	Shiping Cao Yiqi Huang Hua Qiu Robert S. Strichartz Xiaohan Zhu
+ PDF Chat	Gaps in the spectrum of the Laplacian on $3N$-Gaskets	2015	Daniel J. Kelleher N. Gupta Maxwell Margenot Jason Marsh William S. Oakley Alexander Teplyaev
+	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2018	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+ PDF Chat	Besov class via heat semigroup on Dirichlet spaces II: BV functions and Gaussian heat kernel estimates	2020	Patricia Alonso Ruiz Fabrice Baudoin Li Chen Luke G. Rogers Nageswari Shanmugalingam Alexander Teplyaev
+ PDF Chat	Spectral analysis on infinite Sierpiński fractafolds	2012	Robert S. Strichartz Alexander Teplyaev
+ PDF Chat	Spectral dimension and Bohr's formula for Schrödinger operators on unbounded fractal spaces	2015	Joe P. Chen Stanislav Molchanov Alexander Teplyaev
+	Some spectral properties of pseudo-differential operators on the Sierpinski Gasket	2014	Marius Ionescu Kasso A. Okoudjou Luke G. Rogers
+	Eigenvalues of Laplacians on Higher Dimensional Vicsek Set Graphs	2021	Shiping Cao Robert S. Strichartz Melissa Wei

Works Cited by This (22)

Action	Title	Year	Authors
+ PDF Chat	The analogue of the strong Szegö limit theorem on the 2- and 3-dimensional spheres	1996	Kate Okikiolu
+	Szegö Type Limit Theorems	1996	Ари Лаптев Yu. Safarov
+	Differential Equations on Fractals: A Tutorial	2006	Robert S. Strichartz
+	Fractal differential equations on the Sierpinski gasket	1999	Kyallee Dalrymple Robert S. Strichartz Jade P. Vinson
+ PDF Chat	Asymptotics of eigenvalue clusters for Schrödinger operators on the Sierpiński gasket	2007	Kasso A. Okoudjou Robert S. Strichartz
+	ON SZEGÖ'S LIMIT THEOREM	1971	B. L. Golinskii И. А. Ибрагимов
+	On a spectral analysis for the Sierpinski gasket	1992	Masatoshi Fukushima T. Shima
+	<i>Toeplitz Forms and Their Applications</i>	1958	Ulf Grenander Gábor Szegő Mark Kac
+	Function spaces on fractals	2003	Robert S. Strichartz
+ PDF Chat	Harmonic calculus on p.c.f.\ self-similar sets	1993	Jun Kigami