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Brangesian spaces in
Author(s):
D.
A.
Redett
Journal:
Proc. Amer. Math. Soc.
133
(2005),
2689-2695.
MSC (2000):
Primary 47A15;
Secondary 46E30
Posted:
March 22, 2005
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Abstract:
In this note, we characterize certain algebraic subspaces of extending D. Singh's result.
References:
-
- 1.
- V. Mandrekar, The validity of Beurling theorems in polydiscs, Proc. Amer. Math. Soc., 103 (1988), 145-148. MR 0938659 (90c:32008)
- 2.
- D. A. Redett, ``Beurling Type'' Subspaces of
and , Proc. Amer. Math. Soc., 133 no. 4 (2005), 1151-1156. - 3.
- W. Rudin, Function theory in polydiscs, Benjamin, New York, 1969. MR 0255841 (41:501)
- 4.
- Dinesh Singh, Brangesian spaces in the polydisk, Proc. Amer. Math. Soc., 110 no.4 (1990), 971-977. MR 1028289 (91c:46038)
- 5.
- Dinesh Singh and Sanjeev Agrawal, DeBranges Spaces Contained in some Banach Spaces of Analytic Functions, Illinois Journal of Math., 39 no. 3(1995), 351-357. MR 1339831 (96d:46021)
- 6.
- M. Slocinski, On Wold-type decomposition of a pair of commuting isometries, Ann. Polon. Math., 37 (1980), 255-262. MR 0587496 (83e:47031)
- 7.
- Alberto Torchinsky, Real-Variable Methods in Harmonic Analysis, Academic Press, 1986. MR 0869816 (88e:42001)
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Additional Information:
D.
A.
Redett
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368
Email:
redett@math.tamu.edu
DOI:
10.1090/S0002-9939-05-07833-0
PII:
S 0002-9939(05)07833-0
Received by editor(s):
October 28, 2003
Received by editor(s) in revised form:
April 27, 2004
Posted:
March 22, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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