{"product_id":"holomorphic-spaces-hardback-9780521631938","title":"Holomorphic Spaces (Hardback) 9780521631938","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eHolomorphic Spaces\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eExpository articles describing the role Hardy spaces, Bergman spaces, Dirichlet spaces, and Hankel and Toeplitz operators play in modern analysis.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSheldon Axler (Edited by), John E. McCarthy (Edited by), Donald Sarason (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521631938, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 May 1998\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e488 pages\u003cbr\u003e24 x 16.3 x 2.8 cm, 0.853 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSpaces of holomorphic functions have been a prominent theme in analysis since early in the twentieth century. Of interest to complex analysts, functional analysts, operator theorists and systems theorists, their study is now flourishing. This volume, an outgrowth of a 1995 program at the Mathematical Sciences Research Institute, contains expository articles by programme participants. Here researchers and graduate students will encounter Hardy spaces, Bergman spaces, Dirichlet spaces, Hankel and Toeplitz operators, and a sampling of the role these objects play in modern analysis.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Holomorphic spaces: a brief and selective survey Donald Sarason\u003cbr\u003e 2. Recent progress in the function theory of the Bergman space Håkan Hedenmalm\u003cbr\u003e 3. Harmonic Bergman spaces Karel Stroethoff\u003cbr\u003e 4. An excursion into the theory of Hankel operators Vladimir V. Peller\u003cbr\u003e 5. Hankel-type operators, Bourgain algebras and uniform algebras Pamela Gorkin\u003cbr\u003e 6. Tight uniform algebras Scott Saccone\u003cbr\u003e 7. Higher-order Hankel forms and commutators Richard Rochberg\u003cbr\u003e 8. Function theory and operator theory on the Dirichlet space Zhijian Wu\u003cbr\u003e 9. Some open problems in the theory of subnormal operators John B. Conway and Liming Yang\u003cbr\u003e 10. Elements of spectral theory in terms of the free function model part I: basic constructions Nikolai Nikolski and Vasily Vasyunin\u003cbr\u003e 11. Liftings of kernels shift-invariant in scattering systems Cora Sadosky\u003cbr\u003e 12. Some function-theoretic issues in feedback stabilisation Nicholas Young\u003cbr\u003e 13. The abstract interpolation problem Alexander Kheifets\u003cbr\u003e 14. A basic interpolation problem Harry Dym\u003cbr\u003e 15. Reproducing kernel Pontryagin spaces Daniel Alpay, Aad Dijksma, James Rovnyak and Hendrik S. V. de Snoo\u003cbr\u003e 16. Commuting operators and function theory on a Riemann surface Victor Vinnikov.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Geometry [\u003ca title=\"See our other books on Geometry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Geometry%20%5BPBM%5D%22\"\u003ePBM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46129321214232,"sku":"9780521631938","price":146.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521631938i.jpg?v=1691666640","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/holomorphic-spaces-hardback-9780521631938","provider":"Freshly Printed Books","version":"1.0","type":"link"}