{"product_id":"boundary-value-problems-and-symplectic-algebra-for-ordinary-differential-and-quasi-differential-operators","title":"Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators","description":"In the classical theory of self-adjoint boundary value problems for linear ordinary differential operators there is a fundamental, but rather mysterious, interplay between the symmetric (conjugate) bilinear scalar product of the basic Hilbert space and the skew-symmetric boundary form of the associated differential expression. This book presents a new conceptual framework, leading to an effective structured method, for analyzing and classifying all such self-adjoint boundary conditions. The program is carried out by introducing innovative new mathematical structures which relate the Hilbert space to a complex symplectic space.This work offers the first systematic detailed treatment in the literature of these two topics: complex symplectic spaces - their geometry and linear algebra - and quasi-differential operators. This title features: authoritative and systematic exposition of the classical theory for self-adjoint linear ordinary differential operators (including a review of all relevant topics in texts of Naimark, and Dunford and Schwartz); introduction and development of new methods of complex symplectic linear algebra and geometry and of quasi-differential operators, offering the only extensive treatment of these topics in book form; new conceptual and structured methods for self-adjoint boundary value problems; and, extensive and exhaustive tabulations of all existing kinds of self-adjoint boundary conditions for regular and for singular ordinary quasi-differential operators of all orders up through six.","brand":"American Mathematical Society","offers":[{"title":"Default Title","offer_id":57186472657240,"sku":"9780821810804","price":122.99,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0278\/1295\/4195\/files\/9780821810804_0a0b9bbf-d466-4e5b-abd6-2c0121c3e8ce.jpg?v=1779939957","url":"https:\/\/agendabookshop.com\/products\/boundary-value-problems-and-symplectic-algebra-for-ordinary-differential-and-quasi-differential-operators","provider":"Agenda Bookshop","version":"1.0","type":"link"}