CONTENTS
1. Introduction 1
2. The one-variable case 4
3. Tubes with a common edge 6
4. Proof of the continuous version...... 10
5. Á Banach-Steinhaus theorem cm groups 12
6. Test functions. 14
7. Á lemma about the radius of convergence.. ,... 15
8. Proof of the distribution version..... 19
9. Á reflection theorem 21
10. Applications to function theory in polydiscs..... 21
11. Epstein's generalization 25
12. References 30
13. Appendix with supplementary references 31
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