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Bibliography
Bochner, S.: a) Vorlesungen über Fouriersche Integrale. 1932 [see § 9, pp. 30–32].
Bochner, S., andG. H. Hardy: a) Notes on two theorems of Norbert Wiener. J. London Math. Soc.1, 240–244 (1926).
Bureau, F. J.: a) Asymptotic representation of the spectral function of self-adjoint elliptic operators of the second order with variable coefficients. Technical Note No. 2. To appear in J. Math. Analysis and Applications1 (1960).
b) Sur la distribution asymptotique des fonctions propres des équations aux dérivées partielles et le problème de Cauchy. (VI Congresso dell' Unione Mat. Italiana, Napoli 11–16 settembre 1959; communicazioni, p. 25.)
: c) Sur la représentation asymptotique de la fonction spectrale des opérateurs elliptiques du second ordre. C. R. Acad. Sci. (Paris)249, 1071–1073 (1959).
Cheng, M. T.: a) Some Tauberian theorems with application to multiple Fourier series. (Ann. Math.50, 763–776 (1949).)
Wiener, N.: a) On a theorem of Bochner and Hardy. (J. London Math. Soc.2, 118–123 (1927).)
: b) The harmonic analysis of irregular motion. (J. Math. Phys.5, 99–121 (1925–1926).
c) The Fourier Integral and certain of its applications.1933, § 20.
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Bureau, F.J. A Tauberian theorem. Math. Ann. 142, 270–291 (1961). https://doi.org/10.1007/BF01353419
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DOI: https://doi.org/10.1007/BF01353419