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Book Review
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Book Information
Author(s):
A. S. Markus
Title:
Introduction to the spectral theory of polynomial operator pencils
Additional book information:
Translated by H. H. McFaden, Translations of Mathematical Monographs, vol. 71, American Mathematical Society, Providence, R.I., 1988, iv + 250 pp., $95.00. ISBN 0-8218-4523-3
References:
- 1.
- M. V. Keldysh, On the eigenvalues and eigenfunctions of certain classes of nonselfadjoint equations, Dokl. Akad. Nauk SSSR 77 (1951), 11-14.
- 2.
- M. V. Keldysh, On completeness of the eigenfunctions of certain classes of nonselfadjoint linear operators, Uspehi Mat. Nauk 27 (1971), no. 4 (160), 15-41; English tranls. in Russian Math Surveys 27 (1971). MR 300125
- 3.
- I. C. Gohberg and M. G. Kreĭn, Introduction to the theory of linear nonselfadjoint operators, Transl. Math. Monographs, vol. 18, Amer. Math. Soc., Providence, R.I., 1969. MR 246142
- 4.
- M. G. Kreĭn and H. Langer, On the theory of quadratic pencils of selfadjoint operators, Dokl. Akad. Nauk SSSR 154 (1964), 1258-1261; English transl. in Soviet Math. Dokl. 5 (1964). MR 169060
- 5.
- M. G. Kreĭn and H. Langer, On some mathematical principles in the linear theory of damped oscillations of continua, Applications of Function Theory in Continuum Mechanics (Proc. Internat. Sympos., Tbilisi, 1963), vol. 2, "Nauka", Moscow, 1965, pp. 283-322; English transl., Parts I, II, Integral equations operator theory 1 (1978), 364-399; 539-566. MR 511976
- 6.
- L. Rodman, An introduction to operator polynomials, Operator Theory: Advances and Applications vol. 38, Birkhäuser Verlag, Basel, 1989. MR 997092
Additional Information:
Reviewer(s):
I.
Gohberg
Reviewer(s):
M. A.
Kaashoek
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
350-354.
DOI:
10.1090/S0273-0979-1989-15858-8
PII:
S 0273-0979(1989)15858-8
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