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Reflected double layer potentials and Cauchy's operators

Dagmar Medková (1998)

Mathematica Bohemica

Necessary and sufficient conditions are given for the reflected Cauchy's operator (the reflected double layer potential operator) to be continuous as an operator from the space of all continuous functions on the boundary of the investigated domain to the space of all holomorphic functions on this domain (to the space of all harmonic functions on this domain) equipped with the topology of locally uniform convergence.

Remarks on equilibrium potential and energy

Kai Lai Chung (1975)

Annales de l'institut Fourier

This note discusses to problem of the minimization of energy by the equilibrium measure obtained by the method of last exit in reference Ann. Inst. Fourier, 23-3 (1973), 313–322.

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