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Some Hilbert spaces of entire functions. IV
Author:
Louis de Branges
Journal:
Trans. Amer. Math. Soc. 105 (1962), 43-83
MSC:
Primary 46.30
MathSciNet review:
0143016
Full-text PDF Free Access
References |
Similar Articles |
Additional Information
- [1]
Ralph
Philip Boas Jr., Entire functions, Academic Press Inc., New
York, 1954. MR
0068627 (16,914f)
- [2]
Louis
de Branges, Local operators on Fourier transforms, Duke Math.
J. 25 (1958), 143–153. MR 0091380
(19,958b)
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Louis
de Branges, The 𝑎-local operator problem, Canad. J.
Math. 11 (1959), 583–592. MR 0114092
(22 #4919)
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Louis
de Branges, The Stone-Weierstrass
theorem, Proc. Amer. Math. Soc. 10 (1959), 822–824. MR 0113131
(22 #3970), http://dx.doi.org/10.1090/S0002-9939-1959-0113131-7
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Louis
de Branges, The Bernstein problem, Proc. Amer. Math. Soc. 10 (1959), 825–832. MR 0114080
(22 #4907), http://dx.doi.org/10.1090/S0002-9939-1959-0114080-0
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Louis
de Branges, Some mean squares of entire
functions, Proc. Amer. Math. Soc. 10 (1959), 833 839. MR 0114001
(22 #4832), http://dx.doi.org/10.1090/S0002-9939-1959-0114001-0
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Louis
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functions, Proc. Amer. Math. Soc. 10 (1959), 840–846. MR 0114002
(22 #4833), http://dx.doi.org/10.1090/S0002-9939-1959-0114002-2
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Louis
de Branges, Some Hilbert spaces of entire
functions, Trans. Amer. Math. Soc. 96 (1960), 259–295. MR 0133455
(24 #A3289a), http://dx.doi.org/10.1090/S0002-9947-1960-0133455-X
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Louis
de Branges, Some Hilbert spaces of entire
functions. II, Trans. Amer. Math. Soc. 99 (1961), 118–152.
MR
0133456 (24 #A3289b), http://dx.doi.org/10.1090/S0002-9947-1961-0133456-2
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MR
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Louis
de Branges, Homogeneous and periodic spaces of entire
functions, Duke Math. J. 29 (1962), 203–224. MR 0148917
(26 #6413)
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Louis
de Branges, Symmetry in spaces of entire functions, Duke Math.
J. 29 (1962), 383–392. MR 0143018
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Louis
de Branges, A comparison theorem for spaces of
entire functions, Proc. Amer. Math. Soc. 14 (1963), 490–496.
MR
0147651 (26 #5166), http://dx.doi.org/10.1090/S0002-9939-1963-0147651-7
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Heins, On a notion of convexity connected with a method of
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(19,970a)
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Kodaira, The eigenvalue problem for ordinary differential equations
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𝑆-matrices, Amer. J. Math. 71 (1949),
921–945. MR 0033421
(11,438c)
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Levinson, The inverse Sturm-Liouville problem, Mat. Tidsskr.
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original. MR
1451877 (99k:47001)
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E.
C. Titchmarsh, Eigenfunction Expansions Associated with
Second-Order Differential Equations, Oxford, at the Clarendon Press,
1946 (German). MR 0019765
(8,458d)
- [1]
- R. P. Boas, Jr., Entire functions, Academic Press, New York, 1954. MR 0068627 (16:914f)
- [2]
- L. de Branges, Local operators on Fourier transforms, Duke Math. J. 25 (1958), 143-154, MR 0091380 (19:958b)
- [3]
- -, The a-local operator problem, Canad. J. Math. 11 (1959), 583-592. MR 0114092 (22:4919)
- [4]
- -, The Stone-Weierstrass theorem, Proc. Amer. Math. Soc. 10 (1959), 822-824. MR 0113131 (22:3970)
- [5]
- -, The Bernstein problem, Proc. Amer. Math. Soc. 10 (1959), 825-832. MR 0114080 (22:4907)
- [6]
- -, Some mean squares of entire functions, Proc. Amer. Math. Soc. 10 (1959), 833-839. MR 0114001 (22:4832)
- [7]
- -, Some Hilbert spaces of entire functions, Proc. Amer. Math. Soc. 10 (1959), 840-846. MR 0114002 (22:4833)
- [8]
- -, Some Hilbert spaces of entire functions, Trans. Amer. Math. Soc. 96 (1960), 259-295. MR 0133455 (24:A3289a)
- [9]
- -, Some Hilbert spaces of entire functions. II, Trans. Amer. Math. Soc. 99 (1961), 118-152. MR 0133456 (24:A3289b)
- [10]
- -, Some Hilbert spaces of entire functions. III, Trans. Amer. Math. Soc. 100 (1961), 73-115. MR 0133457 (24:A3289c)
- [11]
- -, Homogeneous and periodic spaces of entire functions, Duke Math. J. 29 (1962), 203-224. MR 0148917 (26:6413)
- [12]
- -, Symmetry in spaces of entire functions, Duke Math.J., to appear. MR 0143018 (26:585)
- [13]
- -, A comparison theorem for spaces of entire functions, Proc. Amer. Math. Soc. (to appear). MR 0147651 (26:5166)
- [14]
- M. Heins, On a notion of convexity connected with a method of Carleman, J. Analyse Math. 7 (1959), 53-77. MR 0114000 (22:4831)
- [15]
- G. K. Kalisch, On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators, Ann. of Math. 66 (1957), 481-494. MR 0091443 (19:970a)
- [16]
- K. Kodaira, The eigenvalue problem for ordinary differential equations and Heisenberg's theory of S-matrices, Amer. J. Math. 71 (1949), 921-945. MR 0033421 (11:438c)
- [17]
- N. Levinson, The inverse Sturm-Liouville problem, Mat. Tidsskrift B 49 (1949), 25-30. MR 0032067 (11:248e)
- [18]
- J. A. Shohat and J. D. Tamarkin, The problem of moments, Math. Surveys 1, Amer. Math. Soc., Providence, R. I., 1943. MR 0008438 (5:5c)
- [19]
- M. H. Stone, Linear transformations in Hilbert space and their applications to analysis, Amer. Math. Soc. Colloq. Publ. Vol. 15, Amer. Math. Soc., Providence, R. I., 1932. MR 1451877 (99k:47001)
- [20]
- E. C. Titchmarsh, Eigenfunction expansions associated with second-order differential equations, Clarendon Press, Oxford, 1946. MR 0019765 (8:458d)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9947-1962-0143016-6
PII:
S 0002-9947(1962)0143016-6
Article copyright:
© Copyright 1962 American Mathematical Society
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