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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
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
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
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https://www.mathnet.ru/eng/mzm804https://doi.org/10.4213/mzm804 https://www.mathnet.ru/eng/mzm/v70/i6/p927
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Abstract page: | 328 | Full-text PDF : | 206 | References: | 39 | First page: | 1 |
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