{"product_id":"the-schwarz-function-and-its-generalization-to-higher-dimensions-9780471571278","title":"The Schwarz Function and Its Generalization to","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\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.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49402632995159,"sku":"9780471571278","price":209.66,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780471571278.jpg?v=1730481056","url":"https:\/\/bookcurl.com\/products\/the-schwarz-function-and-its-generalization-to-higher-dimensions-9780471571278","provider":"Book Curl","version":"1.0","type":"link"}