Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators

Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators
Author :
Publisher : American Mathematical Soc.
Total Pages : 201
Release :
ISBN-10 : 9780821810804
ISBN-13 : 0821810804
Rating : 4/5 (804 Downloads)

Book Synopsis Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators by : William Norrie Everitt

Download or read book Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators written by William Norrie Everitt and published by American Mathematical Soc.. This book was released on 1999 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 analysing 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.


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