{"product_id":"sturm-liouville-operators-their-spectral-theory-and-some-applications-hardback-9781470476663","title":"Sturm-Liouville Operators, Their Spectral Theory, and Some Applications (Hardback) 9781470476663","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSturm-Liouville Operators, Their Spectral Theory, and Some Applications\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\"\u003eFritz Gesztesy (Author), Roger Nichols (Author), Maxim Zinchenko (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781470476663\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 31 October 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e927 pages\u003cbr\u003e25.4 x 17.8 x 5.5 cm, 1.846 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\"\u003eThis book provides a detailed treatment of the various facets of modern Sturm-Liouville theory, including such topics as Weyl:ndash;Titchmarsh theory, classical, renormalized, and perturbative oscillation theory, boundary data maps, traces and determinants for Sturm-Liouville operators, strongly singular Sturm–Liouville differential operators, generalized boundary values, and Sturm-Liouville operators with distributional coefficients. To illustrate the theory, the book develops an array of examples from Floquet theory to short-range scattering theory, higher-order KdV trace relations, elliptic and algebro-geometric finite gap potentials, reflectionless potentials and the Sodin-Yuditskii class, as well as a detailed collection of singular examples, such as the Bessel, generalized Bessel, and Jacobi operators. A set of appendices contains background on the basics of linear operators and spectral theory in Hilbert spaces, Schatten-von Neumann classes of compact operators, self-adjoint extensions of symmetric operators, including the Friedrichs and Krein-von Neumann extensions, boundary triplets for ODEs, Krein-type resolvent formulas, sesquilinear forms, Nevanlinna-Herglotz functions, and Bessel functions.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cul\u003e\n\u003cli\u003eIntroduction\u003c\/li\u003e\n\u003cli\u003eA bit of physical motivation\u003c\/li\u003e\n\u003cli\u003ePreliminaries on ODEs\u003c\/li\u003e\n\u003cli\u003eThe regular problem on a compact interval $[a,b]\\subset\\mathbb{R}$\u003c\/li\u003e\n\u003cli\u003eThe singular problem on $(a,b)\\subseteq \\mathbb{R}$\u003c\/li\u003e\n\u003cli\u003eThe spectral function for a problem with a regular endpoint\u003c\/li\u003e\n\u003cli\u003eThe 2 x 2 spectral matrix function in the presence of two singular interval endpoints for the problem on $(a,b)\\subseteq\\mathbb{R}$\u003c\/li\u003e\n\u003cli\u003eClassical oscillation theory, principal solutions, and nonprinicpal solutions\u003c\/li\u003e\n\u003cli\u003eRenormalized oscillation theory\u003c\/li\u003e\n\u003cli\u003ePerturbative oscillation criteria and perturbative Hardy-type inequalities\u003c\/li\u003e\n\u003cli\u003eBoundary data maps\u003c\/li\u003e\n\u003cli\u003eSpectral zeta functions and computing traces and determinants for Sturm-Liouville operators\u003c\/li\u003e\n\u003cli\u003eThe singular problem on $(a,b)\\subseteq\\mathbb{R}$ revisited\u003c\/li\u003e\n\u003cli\u003eFour-coefficient Sturm-Liouville operators and distributional potential coefficients\u003c\/li\u003e\n\u003cli\u003eEpilogue: Applications to some partial differnetial equations of mathematical physics\u003c\/li\u003e\n\u003cli\u003eBasic facts on linear operators\u003c\/li\u003e\n\u003cli\u003eBasics of spectral theory\u003c\/li\u003e\n\u003cli\u003eClasses of bounded linear operators\u003c\/li\u003e\n\u003cli\u003eExtensions of symmetric operators\u003c\/li\u003e\n\u003cli\u003eElements of sesquilinear forms\u003c\/li\u003e\n\u003cli\u003eBasics of Nevanlinna-Herglotz functions\u003c\/li\u003e\n\u003cli\u003eBessel functions in a nutshell\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eAuthor index\u003c\/li\u003e\n\u003cli\u003eList of symbols\u003c\/li\u003e\n\u003cli\u003eSubject index\u003c\/li\u003e\n\u003c\/ul\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003c\/font\u003e","brand":"American Mathematical Society","offers":[{"title":"Brand New","offer_id":52589078642968,"sku":"9781470476663","price":92.69,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/freshlyprintedbooks.co.uk\/products\/sturm-liouville-operators-their-spectral-theory-and-some-applications-hardback-9781470476663","provider":"Freshly Printed Books","version":"1.0","type":"link"}