000 | 03089nam a22004695i 4500 | ||
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001 | 978-3-540-39175-3 | ||
003 | DE-He213 | ||
005 | 20190213151231.0 | ||
007 | cr nn 008mamaa | ||
008 | 100805s1988 gw | s |||| 0|eng d | ||
020 |
_a9783540391753 _9978-3-540-39175-3 |
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024 | 7 |
_a10.1007/BFb0082810 _2doi |
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050 | 4 | _aQA299.6-433 | |
072 | 7 |
_aPBK _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBK _2thema |
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082 | 0 | 4 |
_a515 _223 |
100 | 1 |
_aShirokov, Nikolai A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aAnalytic Functions Smooth up to the Boundary _h[electronic resource] / _cby Nikolai A. Shirokov ; edited by Sergei V. Khrushchev. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1988. |
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300 |
_aCCXXVIII, 222 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1312 |
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505 | 0 | _aNotations -- The (F)-property -- Moduli of analytic functions smooth up to the boundary -- Zeros and their multiplicities -- Closed ideals in the space X pq ? (?,?). | |
520 | _aThis 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function, the generalization of the theorem of V.P. Havin and F.A. Shamoyan also known in the mathematical lore as the unpublished Carleson-Jacobs theorem, the complete description of the zero-set of analytic functions continuous up to the boundary, generalizing the classical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. | ||
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
700 | 1 |
_aKhrushchev, Sergei V. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662213629 |
776 | 0 | 8 |
_iPrinted edition: _z9783540192558 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1312 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0082810 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9969 _d9969 |