Rigorous absolute bounds for pion-pion scattering. II. Solving modified Szegö-Meiman problems
Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 22 (1975) no. 4, pp. 317-366.
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     author = {Auberson, G. and Epele, L. and Mahoux, G. and Sim\~ao, F. R. A.},
     title = {Rigorous absolute bounds for pion-pion scattering. {II.} {Solving} modified {Szeg\"o-Meiman} problems},
     journal = {Annales de l'institut Henri Poincar\'e. Section A, Physique Th\'eorique},
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     year = {1975},
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Auberson, G.; Epele, L.; Mahoux, G.; Simão, F. R. A. Rigorous absolute bounds for pion-pion scattering. II. Solving modified Szegö-Meiman problems. Annales de l'institut Henri Poincaré. Section A, Physique Théorique, Tome 22 (1975) no. 4, pp. 317-366. http://www.numdam.org/item/AIHPA_1975__22_4_317_0/

[1] G. Auberson, L. Epele, G. Mahoux and F.R.A. Simão, Nucl. Phys., B73, 1974, p. 314.

[2] G. Szegö, Orthogonal Polynomials, American Mathematical Society, Providence, Rhode Island (1967), Chap. XIII. | JFM | MR | Zbl

N.N. Meiman, J. E. T. P. (Sov. Phys.), t. 17, 1963, p. 830. | MR | Zbl

[3] L. Lukaszuk, Nuovo Cimento, t. 51A, 1966, p. 67. | MR

L. Lukaszuk and A. Martin, Nuovo Cimento, t. 52A, 1967, p. 122.

[4] P.L. Duren, Theory of Hp Spaces, Academic Press, New York and London, 1970. | MR | Zbl

[5] See e. g., ref. [4], section 7.1.

[6] See also : C. Bourrely, Nucl. Phys., B43, 1972, p. 434.

S. Okubo, J. Math. Phys., t. 15, 1974, p. 963. | MR | Zbl

[7] K. Hoffman, Banach Spaces of Analytic Functions, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962. | MR | Zbl

W. Rudin, Real and Complex Analysis, International Student Edition, McGraw-Hill, London, 1970.

[8] See e. g.: M. Reed and B. Simon, Methods of Modern Mathematical Physics. I. Functional Analysis, Academic Press, New York and London, 1972, section V. 7. | MR | Zbl

[9] N.I. Muskhelishvili, Singular Integral Equations, P. Noordhoff N. V., Groningen- Holland, 1953, Chap. 5, § 19. See also, ref. [4], theorem 5.8. | MR | Zbl

[10] See ref. [4], corollary 2, p. 5.

[11] G.N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, 1958, section 5.72. | MR

[12] A.I. Markushevich, Theory of Functions of a Complex Variable, Vol. II, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1965, theorem 7.5. | MR | Zbl