, Volume 117, Issue 2, pp 3900-3909

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 = MN mentioned in the title, turns out to be a unitary oprator. Bibliography: 5 titles.