The zeros of quasi-analytic functions
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- by Arthur O. Garder PDF
- Proc. Amer. Math. Soc. 6 (1955), 929-941 Request permission
References
- I. I. Hirschman Jr., On the behaviour of Fourier transforms at infinity and on quasi-analytic classes of functions, Amer. J. Math. 72 (1950), 200–213. MR 32816, DOI 10.2307/2372147
- I. I. Hirschman Jr., On the distributions of the zeros of functions belonging to certain quasi-analytic classes, Amer. J. Math. 72 (1950), 396–406. MR 34419, DOI 10.2307/2372041
- I. I. Hirschman Jr. and D. V. Widder, The inversion of a general class of convolution transforms, Trans. Amer. Math. Soc. 66 (1949), 135–201. MR 32817, DOI 10.1090/S0002-9947-1949-0032817-4
- A. Kolmogoroff, On inequalities between the upper bounds of the successive derivatives of an arbitrary function on an infinite interval, Amer. Math. Soc. Translation 1949 (1949), no. 4, 19. MR 0031009
- S. Mandelbrojt, Analytic functions and classes of infinitely differentiable functions, Rice Inst. Pamphlet 29 (1942), no. 1, 142. MR 6354 E. C. Titchmarsh, The theory of functions, 2d ed., Oxford, 1939. —, Introduction to the theory of Fourier integrals, Oxford, 1948.
- I. I. Hirschman and D. V. Widder, The convolution transform, Princeton University Press, Princeton, N. J., 1955. MR 0073746
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 929-941
- MSC: Primary 27.2X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0077595-6
- MathSciNet review: 0077595