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On Helmholtz’s theorem in multiply-bounded and multiply-connected regions. (English) Zbl 0144.36501


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[1] Eichmann, T.; Wigner, E. P., Electromagnetic Field Expansion in Loss-Free Cavities Excited Through Holes, J. Appl. Phys., Vol. 24, 262-267 (1953) · Zbl 0050.20807
[2] Stevenson, A. F., Note on the Existence and Determination of a Vector Potential, Quart. Appl. Math., Vol. XII, 194-198 (1954) · Zbl 0057.33103
[3] Kurokawa, K., The Expansions of Electromagnetic Fields in Cavities, IRE Trans., Vol. MTT-6, 178-187 (1958)
[4] Weyl, H., Das Asymptotische Verteilungsgesetz der Eigenschwingungen Eines Beliebig Gestalteten Elastischen Korpers, Rendic. Circ. Mat. Palmero, Vol. 39, 1-50 (1915) · JFM 45.1016.02
[5] Weyl, H., Uber die Randwertaufgabe der Strahlungstheorie and Asympotische Spektralgesetze, J. Reine. Angew. Math., Vol. 143, 177-202 (1913) · JFM 44.1053.02
[6] Riesz, F.; Nagy, B. S., Lecons d’Analyse Fonctionnelle, ((1955), Gauthier-Villars: Gauthier-Villars Paris), 239 · Zbl 0064.35404
[7] Wratherburn, C. E., Vector Integral Equations of the First Kind, Quart. J. Pure Appl. Math., Vol. 46, 334-356 (1915) · JFM 45.1306.03
[8] Weatherburn, C. E., Vector Integral Equations and Gibbs’ Dyadics, Trans. Cambr. Phil. Soc., Vol. XXII, No. VIII, 133-158 (1916)
[9] Weyl, H., Uber das Spektrum der Hohlraumstrahlung, J. Reine. Angew. Math., Vol. 141, 163-181 (1912) · JFM 43.1063.02
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