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

Released on by William Norrie Everitt
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  • Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators Book Detail

  • Author : William Norrie Everitt
  • Release Date : 1999
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 201
  • ISBN 13 : 0821810804
  • File Size : 59,59 MB
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Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-differential Operators by William Norrie Everitt PDF Summary

Book 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 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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Ordinary Differential Operators

Ordinary Differential Operators

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In 1910 Herman Weyl published one of the most widely quoted papers of the 20th century in Analysis, which initiated the study of singular Sturm-Liouville proble