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Book Review
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Book Information
Author(s):
K. Clancey and I. Gohberg
Title:
Factorization of matrix functions and singular integral operators
Additional book information:
Operator Theory: Advances and Applications, Vol. 3, Birkhäuser Verlag, Basel, 1981, x + 234 pp., $17.55. ISBN 3-7643-1297-1
References:
- 1.
- J. A. Ball and J. W. Helton, Factorization results related to shifts in an indefinite metric, Integral Equations and Operator Theory 5 (1982), 632-658. MR 697008
- 2.
- H. Bart, I. Gohberg and M. A. Kaashoek, Minimal factorization of matrix and operator functions, Operator Theory: Advances and Applications, Vol. 1, Birkäuser Verlag, Basel, 1979. MR 560504
- 3.
- H. Bart, I. Gohberg and M. A. Kaashoek, Wiener-Hopf factorization of analytic operator functions and realization, Rapport no. 231, Subfaculteit Wiskunde, Vrije Universiteit, Amsterdam, 1983.
- 4.
- P. A. Fuhrmann and J. C. Willems, Factorization indices at infinity for rational matrix functions, Integral Equations and Operator Theory 2 (1979), 287-301. MR 551887
- 5.
- A. Grothendieck, Sur la classification des fibres holomorphes sur la sphère de Riemann, Amer. J. Math. 79 (1957), 121-138. MR 87176
- 6.
- I. C. Gohberg and I. A. Feldman, Convolution equations and projection methods for their solution, Transl. Math. Monographs, vol. 41, Amer. Math. Soc., Providence, R.I., 1974. MR 355675
- 7.
- I. C. Gohberg and M. G. Kreĭn, Systems of integral equations on a half line with kernels depending on the difference of arguments, Uspekhi Mat. Nauk 13 (1958), no. 2 (80), 3-72; English transl., Amer. Math. Soc. Transl. (2) 14 (1960), 217-287. MR 113114
- 8.
- I. Gohberg and N. Ya. Krupnik, Einführung in die Theorie der eindimensionalen singulären Integraloperatoren, Math. Reihe, Bd. 63, Birkhäuser Verlag, Basel, 1979. MR 545507
- 9.
- T. Kailath, Equations of Wiener-Hopf type in filtering theory and related applications, Norbert Wiener, Collected Works, Vol. III (P. Masani, ed.), MIT Press, Cambridge, Mass., 1981, pp. 63-94. MR 652691
- 10.
- H. G. Kaper, C. G. Lekkerkerker and J. Hejtmanek, Spectral methods in linear transport theory, Operator Theory: Advances and Applications, Vol. 5, Birkhäuser Verlag, Basel, 1982. MR 685594
- 11.
- B. Kon, Operators of Wiener-Hopf type and resultants of analytic functions. Ph.D. Thesis, Technion, Israel Institute of Technology, 1981.
- 12.
- C. V. M. van der Mee, Semigroup and factorization methods in transport theory, Ph.D. Thesis. Vrije Universiteit, Amsterdam, 1981; Math. Centre Tracts No. 146, Math. Centrum, Amsterdam, 1981. MR 651909
- 13.
- N. I. Muskhelishvili, Singular integral equations. Boundary problems of function theory and their applications to mathematical physics, Noordhoff, Groningen, 1953. MR 58845
- 14.
- J. H. A. de Smit, The queue GI|M|s with customers of different types or the queue GI|H, Memo. no. 364, Dept. of Appl. Math., Twente University of Technology, Enschede, The Netherlands, 1983.
- 15.
- J. C. Willems, Topological classification and structural stability of linear systems, J. Differential Equations 35 (1980), 306-318. MR 563384
Additional Information:
Reviewer(s):
M. A.
Kaashoek
Review Information:
Journal:
Bull. Amer. Math. Soc.
10
(1984),
123-128.
DOI:
10.1090/S0273-0979-1984-15211-X
PII:
S 0273-0979(1984)15211-X
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