{"product_id":"the-schwarz-function-and-its-generalization-to-higher-dimensions-hardback-9780471571278","title":"The Schwarz Function and Its Generalization to Higher Dimensions (Hardback) 9780471571278","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Schwarz Function and Its Generalization to Higher Dimensions\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eHarold S. Shapiro (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780471571278, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 14 April 1992\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e128 pages\u003cbr\u003e24 x 16 x 1.5 cm, 0.369 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\"\u003eThe Schwarz function originates in classical complex analysis and potential theory. Here the author presents the advantages favoring a mode of treatment which unites the subject with modern theory of distributions and partial differential equations thus bridging the gap between two-dimensional geometric and multi-dimensional analysts. Examines the Schwarz function and its relationship to recent investigations regarding inverse problems of Newtonian gravitation, free boundaries, Hele-Shaw flows and the propagation of singularities for holomorphic p.d.e.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eThe Schwarz Principle of Reflection.\u003cbr\u003e \u003cbr\u003e The Logarithmic Potential, Balayage, and Quadrature Domains.\u003cbr\u003e \u003cbr\u003e Examples of ``Quadrature Identities''.\u003cbr\u003e \u003cbr\u003e Quadrature Domains: Basic Properties, 1.\u003cbr\u003e \u003cbr\u003e Quadrature Domains: Basic Properties, 2.\u003cbr\u003e \u003cbr\u003e Schwarzian Reflection, Revisited.\u003cbr\u003e \u003cbr\u003e Projectors from L? (dOmega) to H? (dOmega).\u003cbr\u003e \u003cbr\u003e The Friedrichs Operator.\u003cbr\u003e \u003cbr\u003e Concluding Remarks.\u003cbr\u003e \u003cbr\u003e Bibliography.\u003cbr\u003e \u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley-Interscience","offers":[{"title":"Brand New","offer_id":52293510562072,"sku":"9780471571278","price":162.38,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9780471571278.jpg?v=1781643570","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/the-schwarz-function-and-its-generalization-to-higher-dimensions-hardback-9780471571278","provider":"Freshly Printed Books","version":"1.0","type":"link"}