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Item Details
| Title:
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BOUNDARY VALUE PROBLEMS AND SYMPLECTIC ALGEBRA FOR ORDINARY DIFFERENTIAL AND QUASI-DIFFERENTIAL OPERATORS
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| By: |
W. N. Everitt (Editor), L. Markus (Editor) |
| Format: |
Hardback |
| List price:
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£113.00 |
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We believe that this item is permanently unavailable, and so we cannot source
it.
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| ISBN 10: |
0821810804 |
| ISBN 13: |
9780821810804 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
1 January, 1998 |
| Series: |
Mathematical Surveys and Monographs No. 61 |
| Pages: |
200 |
| Description: |
Presents a fresh conceptual framework, leading to an effective structured method, for analyzing and classifying self-adjoint boundary conditions. This title offers detailed treatment in the literature of the two topics: complex symplectic spaces - their geometry and linear algebra - and quasi-differential operators. |
| Synopsis: |
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. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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