000 03350nam a22004575i 4500
001 978-0-387-49763-1
003 DE-He213
005 20161121231123.0
007 cr nn 008mamaa
008 100301s2007 xxu| s |||| 0|eng d
020 _a9780387497631
_9978-0-387-49763-1
024 7 _a10.1007/0-387-49763-3
_2doi
050 4 _aQA331-355
072 7 _aPBKD
_2bicssc
072 7 _aMAT034000
_2bisacsh
082 0 4 _a515.9
_223
100 1 _aGarnett, John B.
_eauthor.
245 1 0 _aBounded Analytic Functions
_h[electronic resource] /
_cby John B. Garnett.
264 1 _aNew York, NY :
_bSpringer New York,
_c2007.
300 _aXIV, 463 p. 31 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v236
505 0 _aPreliminaries -- Hp Spaces -- Conjugate Functions -- Some Extremal Problems -- Some Uniform Algebra -- Bounded Mean Oscillation -- Interpolating Sequences -- The Corona Construction -- Douglas Algebras -- Interpolating Sequences and Maximal Ideals.
520 _aThe book, which covers a wide range of beautiful topics in analysis, is extremely well organized and well written, with elegant, detailed proofs. The book has educated a whole generation of mathematicians with backgrounds in complex analysis and function algebras. It has had a great impact on the early careers of many leading analysts and has been widely adopted as a textbook for graduate courses and learning seminars in both the US and abroad. - From the Citation for the 2003 Leroy P. Steele Prize for Exposition The author has not attempted to produce a compendium. Rather, he has selected a range of topics in a many-faceted theory and, within that range, penetrated to considerable depth...the author has succeeded in bringing out the beauty of a theory which, despite its relatively advanced age---now approaching 80 years---continues to surprise and to delight its practitioners. The author has left his mark on the subject. - Donald Sarason, Mathematical Reviews Garnett's Bounded Analytic Functions is to function theory as Zygmund's Trigonometric Series is to Fourier analysis. Bounded Analytic Functions is widely regarded as a classic textbook used around the world to educate today's practioners in the field, and is the primary source for the experts. It is beautifully written, but intentionally cannot be read as a novel. Rather it gives just the right level of detail so that the motivated student develops the requisite skills of the trade in the process of discovering the beauty of the combination of real, complex and functional analysis. - Donald E. Marshall, University of Washington.
650 0 _aMathematics.
650 0 _aFunctional analysis.
650 0 _aFunctions of complex variables.
650 1 4 _aMathematics.
650 2 4 _aFunctions of a Complex Variable.
650 2 4 _aFunctional Analysis.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387336213
830 0 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v236
856 4 0 _uhttp://dx.doi.org/10.1007/0-387-49763-3
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c508894
_d508894