Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-Differential Operators (Mathematical Surveys and Monographs)

W. Norrie Everitt, Lawrence Markus

ISBN 10: 0821810804 / ISBN 13: 9780821810804

Verlag: American Mathematical Society, 1999

Beschreibung

Vol 61. only. Spine is sunned and lightly shaken. Cover is lightly worn. Front free end paper has inscription to previous owner. Inside is clean and unmarked.

Bestandsnummer des Verkäufers 1139567

Bibliografische Details

• Titel: Boundary Value Problems and Symplectic Algebra for Ordinary Differential and Quasi-Differential Operators (Mathematical Surveys and Monographs)
• Verlag: American Mathematical Society
• Erscheinungsjahr: 1999
• Sprache: Englisch
• ISBN-10: 0821810804
• ISBN-13: 9780821810804
• Einband: Hard cover
• Zustand: Good
• Zustand des Schutzumschlags: No jacket
• Verkäuferkataloge:
  • Mathematics

Über diesen Titel

Inhaltsangabe

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.

Reseña del editor

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.