Analytic Functions Smooth up to the Boundary (Lecture Notes in Mathematics, 1312) 1988th Edition by Nikolai A. Shirokov (PDF)

Description

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function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical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.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐After reading about the myriad ways of “smoothing up the boundary” presented in a lucid, user-friendly and even intimate manner, I decided to put a few of them to the practical test. The boundaries we as a society find in eveyday life are usually found to be rife with roughness, tending even to chafe at our tender skin. Oh, the nights I’ve tossed and turned at night aching for a kind of Psychic Sandpaper, if you will. ……………………………………………………………………………………..For if we are to accept this book’s basic axiom, namely that there are indeed Boundaries, then who would disagree that it would be far more pleasurable to have boundaries that we would physically enjoy brushing up against, or perhaps pressing our faces to.

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Free Download Analytic Functions Smooth up to the Boundary (Lecture Notes in Mathematics, 1312) 1988th Edition in PDF format
Analytic Functions Smooth up to the Boundary (Lecture Notes in Mathematics, 1312) 1988th Edition PDF Free Download
Download Analytic Functions Smooth up to the Boundary (Lecture Notes in Mathematics, 1312) 1988th Edition 1988 PDF Free
Analytic Functions Smooth up to the Boundary (Lecture Notes in Mathematics, 1312) 1988th Edition 1988 PDF Free Download
Download Analytic Functions Smooth up to the Boundary (Lecture Notes in Mathematics, 1312) 1988th Edition PDF
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