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Ornstein-Zernike and analyticity properties for classical lattice spin systems. (English) Zbl 0397.42011

42A99 Harmonic analysis in one variable
82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics
42A38 Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type
Full Text: DOI
[1] {\scD. B. Abraham and H. Kunz}, Asymptotic Behaviour of Pair Correlation Functions of Classical Fluids at Low Density, preprint.
[2] Camp, W.J.; Fisher, M.E., Phys. rev. lett., 26, 73, (1971)
[3] Camp, W.J., Phys. rev. B, 6, 960, (1972)
[4] Donoghue, W., Monotone matrix functions and analytic continuation, (1974), Springer-Verlag Berlin · Zbl 0278.30004
[5] Glimm, J.; Jaffe, A., Comm. math. phys., 51, 1-13, (1976)
[6] Glimm, J.; Jaffe, A., Quantum dynamics: models in mathematics, (September, 1975), Bielefeld
[7] Katznelson, Y., An introduction to harmonic analysis, (), 26, example 4 · Zbl 0169.17902
[8] Lebowitz, J.L., ()
[9] Lebowitz, J.L.; Penrose, O., Comm. math. phys., 11, 99-124, (1968)
[10] McCoy, B.M.; Wu, T.T., The two dimensional Ising model, (1973), Harvard Univ. Press Cambridge, Mass
[11] {\scP. J. Paes-Leme}, N.Y.U. Thesis.
[12] Ruelle, D., Statistical mechanics: rigorous results, (1969), Benjamin New York · Zbl 0177.57301
[13] {\scR. Schor}, private communication.
[14] {\scR. Schor}, N.Y.U. Thesis.
[15] Spencer, T., Comm. math. phys., 44, 143-164, (1975)
[16] Simon, B., Comm. math. phys., 31, 127-136, (1973)
[17] Sirovich, L., Techniques of asymptotic analysis, (1971), Springer-Verlag Berlin · Zbl 0214.07301
[18] Stanley, H.E., Introduction to phase transitions and critical phenomena, (1971), Oxford Univ. Press New York
[19] Uhlenbeck, G.E.; Ford, G.W., ()
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