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Izvestiya: Mathematics, 2004, Volume 68, Issue 2, Pages 273–289
DOI: https://doi.org/10.1070/IM2004v068n02ABEH000475 (Mi im475) 		 
This article is cited in 1 scientific paper (total in 1 paper)

“Newton polyhedra” of distributions

B. Ya. Kazarnovskii

Scientific Technical Centre "Informregistr"
English version PDF (234 kB) Citations (1)
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DOI: https://doi.org/10.1070/IM2004v068n02ABEH000475
Abstract: We consider systems of equations of the form $f_i(x)=0$, where the $f_i(x)$ are the Fourier transforms of distributions with fixed compact supports, and show that the average density of roots of such systems is determined by the geometry of the convex hulls of the supports of the distributions as their product in the ring of convex bodies.
Received: 30.05.2003
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2004, Volume 68, Issue 2, Pages 53–70
DOI: https://doi.org/10.4213/im475
Bibliographic databases:
UDC: 512.7+514.172
MSC: 52B20, 32A15
Language: English
Original paper language: Russian
Citation: B. Ya. Kazarnovskii, ““Newton polyhedra” of distributions”, Izv. RAN. Ser. Mat., 68:2 (2004), 53–70; Izv. Math., 68:2 (2004), 273–289
Citation in format AMSBIB
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  • https://doi.org/10.1070/IM2004v068n02ABEH000475
  • https://www.mathnet.ru/eng/im/v68/i2/p53
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:473
    Russian version PDF:187
    English version PDF:19
    References:65
    First page:2
     
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