NOTES ON CLASSICAL POTENTIAL THEORY

By JESSICA PEREZ

I PRELIMINARIES 0 1 EUCLIDEAN SPACES 0 2 DERIVATIVES 0 3 HOLOMORPHIC FUNCTIONS 0 4 EQUICONTINUITY 0 5 SEMI-CONTINUITY 0 6 BOREL MEASURES 0 7 DISTRIBUTIONS 0 8 CONCAVITY 0 9 THE FOURIER TRANSFORM CONTENTS II MAIN THEORY 1 HARMONIC FUNCTIONS 2 SUPERHARMONIC FUNCTIONS 3 THE PROBLEM OF DIRICHLET 4 THE KELVIN TRANSFORM 5 GREEN’S FUNCTION 6 POTENTIALS 7 ENERGY 8 CAPACITY 9 THE CLASSICAL KERNELS