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Matematicheskie Zametki, 2001, Volume 70, Issue 6, Pages 927–940
DOI: https://doi.org/10.4213/mzm804 (Mi mzm804) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Iso-Huygens Deformations of Homogeneous Differential Operators Related to a Special Cone of Rank 3

S. P. Khekalo

Kolomna State Pedagogical Institute
Full-text PDF (248 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm804
Abstract: We consider iso-Huygens deformations of homogeneous hyperbolic Gindikin operators related to a special cone of rank 3. The deformations are carried out with the use of Stellmacher–Lagnese and Calogero–Moser potentials. Using the notion of gauge equivalence of operators and the algebraic method of intertwining operators, we write out the fundamental solutions of the deformed operators in closed form and give sufficient conditions for the Huygens principle to hold for these operators in the strengthened or ordinary form.
Received: 28.03.2001
English version:
Mathematical Notes, 2001, Volume 70, Issue 6, Pages 847–859
DOI: https://doi.org/10.1023/A:1012972120302
Bibliographic databases:
UDC: 517.944
Language: Russian
Citation: S. P. Khekalo, “Iso-Huygens Deformations of Homogeneous Differential Operators Related to a Special Cone of Rank 3”, Mat. Zametki, 70:6 (2001), 927–940; Math. Notes, 70:6 (2001), 847–859
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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