Some Hilbert spaces of entire functions

Author:
Louis de Branges

Journal:
Proc. Amer. Math. Soc. **10** (1959), 840-846

MSC:
Primary 30.00; Secondary 46.00

DOI:
https://doi.org/10.1090/S0002-9939-1959-0114002-2

MathSciNet review:
0114002

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References | Similar Articles | 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**0091380****[3]**Louis de Branges,*Some mean squares of entire functions*, Proc. Amer. Math. Soc.**10**(1959), 833 839. MR**0114001**, https://doi.org/10.1090/S0002-9939-1959-0114001-0**[4]**L. H. Loomis and D. V. Widder,*The Poisson integral representation of functions which are positive and harmonic in a half-plane*, Duke Math. J.**9**(1942), 643–645. MR**0007200****[5]**Raymond E. A. C. Paley and Norbert Wiener,*Fourier transforms in the complex domain*, American Mathematical Society Colloquium Publications, vol. 19, American Mathematical Society, Providence, RI, 1987. Reprint of the 1934 original. MR**1451142****[6]**Marshall Harvey Stone,*Linear transformations in Hilbert space*, American Mathematical Society Colloquium Publications, vol. 15, American Mathematical Society, Providence, RI, 1990. Reprint of the 1932 original. MR**1451877**

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DOI:
https://doi.org/10.1090/S0002-9939-1959-0114002-2

Article copyright:
© Copyright 1959
American Mathematical Society