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Exponential bases in L2

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Literature Cited

  1. R. Paley and N. Wiener, Fourier Transforms in the Complex Domain, American Mathematical Society Colloquium Publications, Vol. 19, New York (1934).

  2. R. I. Duffin and A. C. Schaeffer, "A class of nonharmonic Fourier series," Trans. Amer. Math. Soc.,71, No. 2, 341–366 (1952).

    Google Scholar 

  3. V. D. Golovin, "Stability of an exponential-function basis," Dokl. Akad Nauk Arm. SSR,36, No. 2, 65–70 (1963).

    Google Scholar 

  4. M. I. Kadets, "The exact value of the Paylet-Wiener constant," Dokl. Akad. Nauk SSSR,155, No. 6, 1253–1254 (1964).

    Google Scholar 

  5. B. Ya. Levin, "Exponential bases in L2," Zapiski Matem. Otk. Fiz.-Matem. F-ta Khar'kovskogo Un-ta i Khar'kovskogo Matem. Ob-ya,27, Ser 4, 39–48 (1961).

    Google Scholar 

  6. V. D. Golovin, "Biorthonormal expansions in L2 in linear combinations of exponentials," Zapiski Makh.-Matem. F-ta Khar'kovskogo Un-ta i Khar'kovskogo Matem. Ob-va,30, Ser 4, 18–29 (1964).

    Google Scholar 

  7. B. Ya. Levin, The distribution of Zeros of Entire Functions [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  8. N. Levinson, Gap and Density Theorems, American Mathematical Society Colloquium Publications, New York (1940).

    Google Scholar 

  9. B. Ya. Levin, "Interpolation by entire functions of exponential type," in: Mathematical Physics and Functional Analysis [in Russian], No. 1, FTINT, Akad. Nauk UkrSSR (1969), pp. 136–139.

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Authors
  1. V. É. Katsnel'son
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Additional information

A. M. Gor'kii Kharkov State University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 5, No. 1, pp. 37–47, January–March, 1971.

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Katsnel'son, V.É. Exponential bases in L2 . Funct Anal Its Appl 5, 31–38 (1971). https://doi.org/10.1007/BF01075845

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  • DOI: https://doi.org/10.1007/BF01075845

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