CONTENTS

Preface i x

1. Revie w of som e basi c results in on e variable 1

2. Hermitia n vecto r spac e 4

3. Analyti c chain s and divisor s 8

4. Th e tw o main theorem s 16

5. Th e Jensen-Poisso n formula . Canonica l function s 2 2

6. Function s o f finit e orde r 2 8

7. Thet a function s 3 4

8. Function s o f finite X-typ e 3 8

9. Function s o f finite orde r o n th e uni t bal l 4 1

10. Function s o f finit e orde r o n polydisc s 4 5

11. Entir e function s fo r analyti c set s 6 9

References 7 7

Index 8 2

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