Some Hilbert spaces of entire functions

Some Hilbert spaces of entire functions
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Trans. Amer. Math. Soc. 96 (1960), 259-295

DOI: https://doi.org/10.1090/S0002-9947-1960-0133455-X

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References

Ralph Philip Boas Jr., Entire functions, Academic Press, Inc., New York, 1954. MR 0068627
Louis de Branges, Local operators on Fourier transforms, Duke Math. J. 25 (1958), 143–153. MR 91380
Louis de Branges, The $a$-local operator problem, Canadian J. Math. 11 (1959), 583–592. MR 114092, DOI 10.4153/CJM-1959-053-3
Louis de Branges, The Stone-Weierstrass theorem, Proc. Amer. Math. Soc. 10 (1959), 822–824. MR 113131, DOI 10.1090/S0002-9939-1959-0113131-7
Louis de Branges, The Bernstein problem, Proc. Amer. Math. Soc. 10 (1959), 825–832. MR 114080, DOI 10.1090/S0002-9939-1959-0114080-0
Louis de Branges, Some mean squares of entire functions, Proc. Amer. Math. Soc. 10 (1959), 833 839. MR 114001, DOI 10.1090/S0002-9939-1959-0114001-0
Louis de Branges, Some Hilbert spaces of entire functions, Proc. Amer. Math. Soc. 10 (1959), 840–846. MR 114002, DOI 10.1090/S0002-9939-1959-0114002-2

Introduction to Hilbert space

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 7200
J. A. Shohat and J. D. Tamarkin, The Problem of Moments, American Mathematical Society Mathematical Surveys, Vol. I, American Mathematical Society, New York, 1943. MR 0008438
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, DOI 10.1090/coll/015