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Matematicheskie Zametki, 2015, Volume 98, Issue 6, Pages 872–877
DOI: https://doi.org/10.4213/mzm10688 (Mi mzm10688) 		 
Spectral Trace Formula for Local Fields

R. S. Ismagilov

Bauman Moscow State Technical University
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DOI: https://doi.org/10.4213/mzm10688
Abstract: In the paper, the space of square-integrable functions on a local field and an operator acting as a sum of an operator of multiplication by a function and a convolution with a distribution (generalized function) are considered. The main result is a trace formula for such operators.
Keywords: local field, operator of multiplication, convolution with a distribution, trace formula.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-00349
Received: 21.01.2015
English version:
Mathematical Notes, 2015, Volume 98, Issue 6, Pages 926–931
DOI: https://doi.org/10.1134/S0001434615110255
Bibliographic databases:
Document Type: Article
UDC: 513.015.7
Language: Russian
Citation: R. S. Ismagilov, “Spectral Trace Formula for Local Fields”, Mat. Zametki, 98:6 (2015), 872–877; Math. Notes, 98:6 (2015), 926–931
Citation in format AMSBIB
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    		Математические заметки Mathematical Notes
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