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St. Petersburg Mathematical Journal
St. Petersburg Mathematical Journal
ISSN 1547-7371(e) ISSN 1061-0022(p)

     

Book Review

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Book Information

Author(s): Vladimir Peller.
Title: Hankel operators and their applications
Additional book information: Springer Monographs in Mathematics, Springer-Verlag, New York--Berlin--Heidelberg, 2003, viii+784


References:

1.
U. Grenander and G. Szego, Toeplitz forms and their applications, Univ. California Press, Berkeley-Los Angeles, 1958. MR 0094840 (20:1349)

2.
A. Böttcher and B. Silbermann, Analysis of Toeplitz operators, Springer-Verlag, Berlin, 1990. MR 1071374 (92e:47001)

3.
S. C. Power, Hankel operators on Hilbert space, Res. Notes in Math., vol. 64, Pitman, Boston, MA-London, 1982. MR 0666699 (84e:47037)

4.
N. K. Nikol'skii, Treatise of the shift operator, ``Nauka'', Moscow, 1980; English transl., Grundlehren Math. Wiss., vol. 273, Springer-Verlag, Berlin-New York, 1986. MR 0827223 (87i:47042)

5.
-, Operators, functions, and systems: an easy reading. . I. Hardy, Hankel, and Toeplitz, Math. Surveys Monogr., vol. 92, Amer. Math. Soc., Providence, RI, 2002. MR 1864396 (2003i:47001a)


Additional Information:

Reviewer(s):
S. V. Kislyakov
Review translated by: the reviewer

Review Information:
Journal: St. Petersburg Math. J. 15 (2004), 969-972.

DOI: PII: S 1061-0022(04)00840-4
Posted: November 16, 2004
Copyright of article: Copyright 2004, American Mathematical Society




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