{"product_id":"spectral-theory-and-its-applications-hardback-9781107032309","title":"Spectral Theory and its Applications (Hardback) 9781107032309","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSpectral Theory and its Applications\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIntroduces the basic tools in spectral analysis using numerous examples from the Schrödinger operator theory and various branches of physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eBernard Helffer (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107032309, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 17 January 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e262 pages, 2 b\/w illus.  80 exercises\u003cbr\u003e23.1 x 15.2 x 1.8 cm, 0.45 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\"It is written in a way well suited for a graduate course.\"  \u003cbr\u003ePavel V. Exner, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eBernard Helffer's graduate-level introduction to the basic tools in spectral analysis is illustrated by numerous examples from the Schrödinger operator theory and various branches of physics: statistical mechanics, superconductivity, fluid mechanics and kinetic theory. The later chapters also introduce non self-adjoint operator theory with an emphasis on the role of the pseudospectra. The author's focus on applications, along with exercises and examples, enables readers to connect theory with practice so that they develop a good understanding of how the abstract spectral theory can be applied. The final chapter provides various problems that have been the subject of active research in recent years and will challenge the reader's understanding of the material covered.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Unbounded operators\u003cbr\u003e 3. Representation theorems\u003cbr\u003e 4. Semibounded operators\u003cbr\u003e 5. Compact operators\u003cbr\u003e 6. Spectral theory for bounded operators\u003cbr\u003e 7. Applications in physics and PDE\u003cbr\u003e 8. Spectrum for self-adjoint operators\u003cbr\u003e 9. Essentially self-adjoint operators\u003cbr\u003e 10. Discrete spectrum, essential spectrum\u003cbr\u003e 11. The max-min principle\u003cbr\u003e 12. An application to fluid mechanics\u003cbr\u003e 13. Pseudospectra\u003cbr\u003e 14. Applications for 1D-models\u003cbr\u003e 15. Applications in kinetic theory\u003cbr\u003e 16. Problems\u003cbr\u003e References\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], Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\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]\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":46002373329176,"sku":"9781107032309","price":49.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107032309i_955b29e6-abca-49e2-b54d-ab74bd59718c.jpg?v=1691361387","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/spectral-theory-and-its-applications-hardback-9781107032309","provider":"Freshly Printed Books","version":"1.0","type":"link"}