| Record ID | marc_loc_2016/BooksAll.2016.part41.utf8:144360814:2813 |
| Source | Library of Congress |
| Download Link | /show-records/marc_loc_2016/BooksAll.2016.part41.utf8:144360814:2813?format=raw |
LEADER: 02813cam a22003858i 4500
001 2014005539
003 DLC
005 20150827104248.0
008 140210s2014 nyu 000 0 eng
010 $a 2014005539$z 2015010675
020 $a9781107027770 (hardback : v. 1)
020 $a9781107027787 (hardback : v. 2)
040 $aDLC$beng$cDLC$erda
042 $apcc
050 00 $aQA322.4$b.F73 2014
082 00 $a515/.733$223
084 $aMAT002010$2bisacsh
100 1 $aFricain, Emmanuel,$d1971-$eauthor.
245 14 $aThe theory of H(b) spaces /$cEmmanuel Fricain, Javad Mashreghi.
263 $a1405
264 1 $aNew york :$bCambridge University Press,$c2014.
300 $a2 volumes ;$ccm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 0 $aNew mathematical monographs ;$vv. 20-21
520 $a"An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, Fourier analysis, integral representation theorems, Carleson measures, Toeplitz and Hankel operators, various types of shift operators, and Clark measures. The second volume focuses on the central theory. Both books are accessible to graduate students as well as researchers: each volume contains numerous exercises and hints, and figures are included throughout to illustrate the theory. Together, these two volumes provide everything the reader needs to understand and appreciate this beautiful branch of mathematics"--$cProvided by publisher.
505 8 $aMachine generated contents note: List of figures; Preface; List of symbols; Important conventions; 1. *Normed linear spaces and their operators; 2. Some families of operators; 3. Harmonic functions on the open unit disc; 4. Analytic functions on the open unit disc; 5. The corona problem; 6. Extreme and exposed points; 7. More advanced results in operator theory; 8. The shift operator; 9. Analytic reproducing kernel Hilbert spaces; 10. Bases in Banach spaces; 11. Hankel operators; 12. Toeplitz operators; 13. Cauchy transform and Clark measures; 14. Model subspaces KT; 15. Bases of reproducing kernels and interpolation; Bibliography; Index.
650 0 $aHilbert space.
650 0 $aHardy spaces.
650 0 $aAnalytic functions.
650 0 $aLinear operators.
650 7 $aMATHEMATICS / Algebra / Abstract.$2bisacsh
700 1 $aMashreghi, Javad,$eauthor.
856 42 $3Cover image$uhttp://assets.cambridge.org/97811070/27770/cover/9781107027770.jpg