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Amrein, W. O.; Berthier, A. M.

On support properties of Lsup(p)-functions and their Fourier transforms. (English) Zbl 0355.42015

J. Funct. Anal. 24, 258-267 (1977).
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Cited in 7 Reviews
Cited in 69 Documents

MathOverflow Questions:

The supremum value of \(\int f(t) \log{\frac{1}{|t|}} \, dt\) for normalized Fourier pairs non-negative outside of \([-1,1]\)

MSC:

42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
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References:

[1] Lenard, A., The numerical range of a pair of projections, J. Functional Analysis, 10, 410-423 (1972) · Zbl 0237.47002
[2] Jauch, J. M., The quantum probability calculus, Synthese, 29, 131-154 (1974) · Zbl 0342.60004
[3] M. Benedicks; M. Benedicks · Zbl 0576.42016
[4] Halmos, P., Two subspaces, Trans. Amer. Math. Soc., 144, 381-389 (1969) · Zbl 0187.05503
[5] Kato, T., Perturbation Theory for Linear Operators (1966), Springer: Springer New York · Zbl 0148.12601
[6] Ikebe, T.; Kato, T., Uniqueness of the self-adjoint extension of singular elliptic differential operators, Arch. Rational Mech. Anal., 9, 77-92 (1962) · Zbl 0103.31801
[7] Amrein, W. O.; Georgescu, V., On the characterization of bound states and scattering states in quantum mechanics, Helv. Phys. Acta., 46, 635-658 (1973)
[8] Berthier, A. M.; Jauch, J. M., Un théorème sur le support de fonctions de \(L^2(R)\) et de leurs transformées de Fourier, Lett. Math. Phys., 1, 93-97 (1976) · Zbl 0347.46028
[9] Stein, E. M.; Weiss, G., Introduction to Fourier Analysis on Euclidean Spaces (1971), Princeton Univ. Press: Princeton Univ. Press Princeton · Zbl 0232.42007
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