{"product_id":"bitangential-direct-and-inverse-problems-for-systems-of-integral-and-differential-equations-hardback-9781107018877","title":"Bitangential Direct and Inverse Problems for Systems of Integral and Differential Equations (Hardback) 9781107018877","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eBitangential Direct and Inverse Problems for Systems of Integral and Differential Equations\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn essentially self-contained treatment ideal for mathematicians, physicists or engineers whose research is connected with inverse problems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDamir Z. Arov (Author), Harry Dym (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107018877, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 13 September 2012\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e488 pages\u003cbr\u003e23.4 x 15.6 x 3.2 cm, 0.88 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The book provides a unified setting for understanding and codifying a number of seemingly disparate areas of analysis appearing not only in the authors' earlier work, but also in numerous articles of other authors scattered throughout the literature.' Joseph A. Ball, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Canonical systems and related differential equations\u003cbr\u003e 3. Matrix valued functions in the Nevanlinna class\u003cbr\u003e 4. Interpolation problems, resolvent matrices and de Branges spaces\u003cbr\u003e 5. Chains that are matrizants and chains of associated pairs\u003cbr\u003e 6. The bitangential direct input scattering problems\u003cbr\u003e 7. Bitangential direct input impedance and spectral problems\u003cbr\u003e 8. Inverse monodromy problems\u003cbr\u003e 9. Bitangential Krein extension problems\u003cbr\u003e 10. Bitangential inverse input scattering problems\u003cbr\u003e 11. Bitangential inverse input impedance and spectral problems\u003cbr\u003e 12. Dirac–Krein systems\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical physics [\u003ca title=\"See our other books on Mathematical physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20physics%20%5BPHU%5D%22\"\u003ePHU\u003c\/a\u003e], Integral calculus \u0026amp; equations [\u003ca title=\"See our other books on Integral calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Integral%20calculus%20\u0026amp;%20equations%20%5BPBKL%5D%22\"\u003ePBKL\u003c\/a\u003e], Differential calculus \u0026amp; equations [\u003ca title=\"See our other books on Differential calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Differential%20calculus%20\u0026amp;%20equations%20%5BPBKJ%5D%22\"\u003ePBKJ\u003c\/a\u003e], 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":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46265491489048,"sku":"9781107018877","price":81.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107018877i.jpg?v=1692023450","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/bitangential-direct-and-inverse-problems-for-systems-of-integral-and-differential-equations-hardback-9781107018877","provider":"Freshly Printed Books","version":"1.0","type":"link"}