Cover of New Constructions of Functions Holomorphic in the Unit Ball of $C^n$

New Constructions of Functions Holomorphic in the Unit Ball of $C^n$

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American Mathematical Society

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978-1-4704-2424-4

1-4704-2424-X

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The book is based on lectures given by the author at a CBMS Regional Conference held in 1985. It presents the results about the construction of nonconstant inner functions in the unit ball in the $n$-dimensional complex space $C^n$. An appreciation of techniques not previously used in the context of several complex variables will reward the reader who is reasonably familiar with holomorphic functions of one complex variable and some functional analysis.

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