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 1 6 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 v

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