Colloquium publications.

11 CONTENTS.
~ 10. The Representation of Certain Meromorphic
Functions as Quotients...................... 154
~ 11. Integral Functions as Products of Prime Factors.... 156
LECTURE III
SINGULAR POINTS AND ANALYTIC CONTINUATION
~ 1. Introduction................................... 160
~ 2. Non-Essential Singularities...................... 161
~ 3. Essential Singularities........................... 163
~ 4. Removable Singularities........................ 163
~ 5. Analytic Continuation by Means of Cauchy's Integral
Formula........................ 165
~ 6. Application to the Distribution of Singularities..... 169
~ 7. Generalizations of the Theorem of ~ 5............. 171
~ 8. Levi's M emoir of 1910......................... 172
~ 9. Continuation. Lacunary Spaces................. 175
~ 10. Concerning the Boundary of the Domain of Definition
of f(x, y).............................. 177
~ 11. A Theorem Relating to Characteristic Surfaces..... 178
LECTURE IV
IMPLICIT FUNCTIONS
~ 1. Weierstrass's Theorem of Factorization........... 181
~ 2. A Tentative Generalization of the Theorem of
Factorization................................. 184
~ 3. Algebroid Configurations........................ 185
~ 4. Continuation. The Branch Points of the Discriminant....................................... 188
~ 5. Single-Valued Functions on an Algebroid Configuration......................................... 190
~ 6. Solution of a System of Analytic Equations. Weierstrass's Theorem............................. 192
~ 7. Continuation. A General Theorem.............. 193
~ 8. The Inverse of an Analytic Transformation....... 197