## Infinitely multiple valued harmonic funtions in space with two base branch curves of order oneUniversity of California, Dept. of Mathematics, 1958 - Mathematics |

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### Contents

Cut surfaces and domains on an leaved | 27 |

A constant m 1 belonging to Tw | 30 |

Harmonic functions on T of class ni Identities | 4 |

3 other sections not shown

### Common terms and phrases

1-cycle 2k+l absolute continuity absolute convergence aec on F assume boundary values bounded and harmonic bounded domain bounded sets branch curves capacity zero closed curves closed i-chains closed set compact connected constant contains a point converges corresponding cut surfaces cycle of odd defined deformation denote Dirichlet integrals disjoint Euclidean space exists exterior boundary finite number follows function u(M given Green's theorem harmonic continuation Hence homeomorphism identically integral interior leaved space Lebesgue Lemma lies lim inf lim sup linkage number mass distribution meet neighborhood Newtonian potential obtain odd linkage open sets path point Q positive potential theory rectifiable curve regular element replaced respectively sequence Similarly space H sphere subdivision subharmonic subset summable surface of boundary takes on continuously Theorem 1.3 transformation u(Mo valued functions VALUED HARMONIC FUNCTIONS values h vanish vector yields