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Analytic Functions Smooth up to the Boundary (Paperback, 1988 ed.)
Loot Price: R1,386
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Analytic Functions Smooth up to the Boundary (Paperback, 1988 ed.)
Series: Lecture Notes in Mathematics, 1312
Expected to ship within 10 - 15 working days
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Total price: R1,406
Discovery Miles: 14 060
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This research monograph concerns the Nevanlinna factorization of
analytic functions smooth, in a sense, up to the boundary. The
peculiar properties of such a factorization are investigated for
the most common classes of Lipschitz-like analytic functions. The
book sets out to create a satisfactory factorization theory as
exists for Hardy classes. The reader will find, among other things,
the theorem on smoothness for the outer part of a function, the
generalization of the theorem of V.P. Havin and F.A. Shamoyan also
known in the mathematical lore as the unpublished Carleson-Jacobs
theorem, the complete description of the zero-set of analytic
functions continuous up to the boundary, generalizing the classical
Carleson-Beurling theorem, and the structure of closed ideals in
the new wide range of Banach algebras of analytic functions. The
first three chapters assume the reader has taken a standard course
on one complex variable; the fourth chapter requires supplementary
papers cited there. The monograph addresses both final year
students and doctoral students beginning to work in this area, and
researchers who will find here new results, proofs and methods.
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