Entire functions and integral transforms

de Branges, Louis

doi:10.1090/S0002-9904-1962-10740-X

Author: Louis de Branges
Journal: Bull. Amer. Math. Soc. 68 (1962), 103-106
DOI: https://doi.org/10.1090/S0002-9904-1962-10740-X
MathSciNet review: 0143017
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References | Additional Information

1. Ralph Philip Boas Jr., Entire functions, Academic Press Inc., New York, 1954. MR 0068627
2. Louis de Branges, Local operators on Fourier transforms, Duke Math. J. 25 (1958), 143–153. MR 91380
3. Louis de Branges, The 𝑎-local operator problem, Canadian J. Math. 11 (1959), 583–592. MR 114092, https://doi.org/10.4153/CJM-1959-053-3
4. Louis de Branges, The Stone-Weierstrass theorem, Proc. Amer. Math. Soc. 10 (1959), 822–824. MR 113131, https://doi.org/10.1090/S0002-9939-1959-0113131-7
5. Louis de Branges, The Bernstein problem, Proc. Amer. Math. Soc. 10 (1959), 825–832. MR 114080, https://doi.org/10.1090/S0002-9939-1959-0114080-0
6. Louis de Branges, Some mean squares of entire functions, Proc. Amer. Math. Soc. 10 (1959), 833 839. MR 114001, https://doi.org/10.1090/S0002-9939-1959-0114001-0
7. Louis de Branges, Some Hilbert spaces of entire functions, Proc. Amer. Math. Soc. 10 (1959), 840–846. MR 114002, https://doi.org/10.1090/S0002-9939-1959-0114002-2
8. Louis de Branges, Some Hilbert spaces of entire functions, Trans. Amer. Math. Soc. 96 (1960), 259–295. MR 133455, https://doi.org/10.1090/S0002-9947-1960-0133455-X
9. Louis de Branges, Some Hilbert spaces of entire functions. II, Trans. Amer. Math. Soc. 99 (1961), 118–152. MR 133456, https://doi.org/10.1090/S0002-9947-1961-0133456-2
10. Louis de Branges, Some Hilbert spaces of entire functions. III, Trans. Amer. Math. Soc. 100 (1961), 73–115. MR 133457, https://doi.org/10.1090/S0002-9947-1961-0133457-4
11. Louis de Branges, Some Hilbert spaces of entire functions. II, Trans. Amer. Math. Soc. 99 (1961), 118–152. MR 133456, https://doi.org/10.1090/S0002-9947-1961-0133456-2
12. Louis de Branges, Some Hilbert spaces of entire functions, Trans. Amer. Math. Soc. 96 (1960), 259–295. MR 133455, https://doi.org/10.1090/S0002-9947-1960-0133455-X
13. Louis de Branges, Homogeneous and periodic spaces of entire functions, Duke Math. J. 29 (1962), 203–224. MR 148917
14. Louis de Branges, Symmetry in spaces of entire functions, Duke Math. J. 29 (1962), 383–392. MR 143018
15. Louis de Branges, A comparison theorem for spaces of entire functions, Proc. Amer. Math. Soc. 14 (1963), 490–496. MR 147651, https://doi.org/10.1090/S0002-9939-1963-0147651-7
16. Maurice Heins, On a notion of convexity connected with a method of Carleman, J. Analyse Math. 7 (1959), 53–77. MR 114000, https://doi.org/10.1007/BF02787680
17. G. K. Kalisch, On similarity, reducing manifolds, and unitary equivalence of certain Volterra operators, Ann. of Math. (2) 66 (1957), 481–494. MR 91443, https://doi.org/10.2307/1969905
18. Norman Levinson, Gap and Density Theorems, American Mathematical Society Colloquium Publications, v. 26, American Mathematical Society, New York, 1940. MR 0003208
19. Norman Levinson, The inverse Sturm-Liouville problem, Mat. Tidsskr. B 1949 (1949), 25–30. MR 32067
20. P. Malliavin, Some applications of entire functions of exponential type to harmonic analysis, mimeographed notes from the conference on functional analysis at Stanford, 1961.

Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1962-10740-X