Translations of Mathematical Monographs Vol. 71. iv, 250 p. 24 cm. Ex library with labels on spine and rear endpaper, ink stamps on top edge and title.

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Bibliographic Details

Title

Introduction to the Spectual Theory of Polynomial Operator Pencils

Publisher

American Mathematical Society, Providence, RI

Publication Date

1988

ISBN 10

0821845233

ISBN 13

9780821845233

Binding

Hardcover

Condition

ex library-good

Seller catalogs

Science

About this title

Synopsis

This monograph contains an exposition of the foundations of the spectral theory of polynomial operator pencils acting in a Hilbert space. Spectral problems for polynomial pencils have attracted a steady interest in the last 35 years, mainly because they arise naturally in such diverse areas of mathematical physics as differential equations and boundary value problems, controllable systems, the theory of oscillations and waves, elasticity theory, and hydromechanics. In this book, the author devotes most of his attention to the fundamental results of Keldysh on multiple completeness of the eigenvectors and associate vectors of a pencil, and on the asymptotic behavior of its eigenvalues and generalizations of these results. The author also presents various theorems on spectral factorization of pencils which grew out of known results of M. G. Krein and Heinz Langer. A large portion of the book involves the theory of selfadjoint pencils, an area having numerous applications. Intended for mathematicians, researchers in mechanics, and theoretical physicists interested in spectral theory and its applications, the book assumes a familiarity with the fundamentals of spectral theory of operators acting in a Hilbert space.

Language Notes

Text: English, Russian (translation)

"About this title" may belong to another edition of this title.

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