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Spectral properties of the iterated Laplacian with a potential in a punctured domain
- Source :
- Filomat. 32:2897-2900
- Publication Year :
- 2018
- Publisher :
- National Library of Serbia, 2018.
-
Abstract
- In the work we derive regularized trace formulas which were established in papers of Kanguzhin and Tokmagambetov for the Laplace and m-Laplace operators in a punctured domain with the fixed iterating order m 2 N. By using techniques of Sadovnichii and Lyubishkin, the authors in that papers described regularized trace formulae in the spatial dimension d = 2. In this note one claims that the formulas are also true for more general operators in the higher spatial dimensions, namely, 2 ? d ? 2m. Also, we give the further discussions on a development of the analysis associated with the operators in punctured domains. This can be done by using so called ?nonharmonic? analysis.
Details
- ISSN :
- 24060933 and 03545180
- Volume :
- 32
- Database :
- OpenAIRE
- Journal :
- Filomat
- Accession number :
- edsair.doi...........8da02338f81448637a31b11a1fa02daa