000 | 02271nam a22003497a 4500 | ||
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003 | OSt | ||
005 | 20240528173258.0 | ||
008 | 240528b |||||||| |||| 00| 0 hin d | ||
020 | _a9781107047525 | ||
040 |
_aNISER LIBRARY _beng _cNISER LIBRARY |
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041 | _aEnglish | ||
082 | 0 | 4 |
_a517.982.22 _bEL-P |
100 | 1 | _aEl- Fallah, Omar | |
245 | 1 | 0 | _aPrimer on the dirichlet space |
260 |
_aCambridge : _bCambridge University Press, _c2014. |
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300 |
_axiii, 211p. : _billustrations ; _c24 cm. |
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490 |
_aCambridge tracts in mathematics ; _v203 |
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504 | _aIncludes bibliographical references (pages 197-203) and indexes. | ||
520 | _aThe Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles, and improving upon many of the proofs. Topics treated include: the Douglas and Carleson formulas for the Dirichlet integral, reproducing kernels, boundary behaviour and capacity, zero sets and uniqueness sets, multipliers, interpolation, Carleson measures, composition operators, local Dirichlet spaces, shift-invariant subspaces, and cyclicity. Special features include a self-contained treatment of capacity, including the strong-type inequality. The book will be valuable to researchers in function theory, and with over 100 exercises it is also suitable for self-study by graduate students. | ||
650 | 0 | _aDirichlet principle. | |
650 | 0 | _aHilbert space. | |
650 | 0 | _aHolomorphic functions | |
650 | 0 | _aDirichlet-Raum. | |
650 | 0 | _aFunctions of complex variables. | |
700 | 1 | _aKellay, Karim | |
700 | 1 | _aMashreghi, Javad | |
700 | 1 | _aRansford, Thomas | |
856 |
_3Table of Contents _uhttps://assets.cambridge.org/97811070/47525/toc/9781107047525_toc.pdf |
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856 |
_3Excerpt _uhttps://assets.cambridge.org/97811070/47525/excerpt/9781107047525_excerpt.pdf |
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856 |
_3Reviews _uhttps://www.goodreads.com/book/show/18789812-a-primer-on-the-dirichlet-space#CommunityReviews |
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942 |
_cBK _2udc |
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999 |
_c35016 _d35016 |