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SOME SPECTRAL PROPERTIES OF PSEUDO-DIFFERENTIAL OPERATORS ON THE SIERPI 'NSKI GASKET.
- Source :
- Proceedings of the American Mathematical Society; May2017, Vol. 145 Issue 5, p2183-2198, 16p
- Publication Year :
- 2017
-
Abstract
- We prove versions of the strong Szegö limit theorem for certain classes of pseudo-differential operators defined on the Sierpiński gasket. Our results use in a fundamental way the existence of localized eigenfunctions for the Laplacian on this fractal. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 145
- Issue :
- 5
- Database :
- Complementary Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 121404453
- Full Text :
- https://doi.org/10.1090/proc/13512