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On a Unitary Transform in the Space L2(Ω\ℝ3) Connected with the Weyl Decomposition

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Abstract

In papers devoted to the dynamical inverse problem for the Naxwell system, in the context of the BC method, a unitary transform M: “solenoidal field → transversal field” was introduced. In this paper, M is complemented by a transform N: “potential field → longitudinal field.” Isometry and completeness of N are established. The transform U = M ⊕ N mentioned in the title, turns out to be a unitary oprator. Bibliography: 5 titles.

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REFERENCES

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  1. St.Petersburg Department of the, Steklov Mathematical Institute, Russia

    M. I. Belishev

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  1. M. I. Belishev
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Belishev, M.I. On a Unitary Transform in the Space L2(Ω\ℝ3) Connected with the Weyl Decomposition. Journal of Mathematical Sciences 117, 3900–3909 (2003). https://doi.org/10.1023/A:1024606522660

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  • DOI: https://doi.org/10.1023/A:1024606522660

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