Representation of partial-wave amplitudes by power moments and its consequences. I
Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 351-361 Cet article a éte moissonné depuis la source Math-Net.Ru

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Partial-wave amplitudes given by the Gribov–Froissart formula are represented by power moments; some constraints are dedueea from the representation.
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V. A. Yatsun. Representation of partial-wave amplitudes by power moments and its consequences. I. Teoretičeskaâ i matematičeskaâ fizika, Tome 13 (1972) no. 3, pp. 351-361. http://geodesic.mathdoc.fr/item/TMF_1972_13_3_a5/

[1] A. P. Balachandran, The Crossing and Positivity Properties of Partial Wawes, A Review, Syracuse Preprint SU-1206-243, 1971 | Zbl

[2] A. K. Common, Nuovo Cim., 63A (1969), 863 | DOI | MR

[3] F. J. Yndurain, Nuovo Cim., 64A (1969), 225 | DOI

[4] V. A. Yatsun, On a Sonsequence of Analyticity of the $\pi\pi$-Scattering Amplitude, Preprint ITP-70-60E, Kiev, 1970

[5] G. Mahoux, A. Martin, Phys. Rev., 174 (1968), 2140 | DOI

[6] W. Case, Some Constraints on the Partial Wawes of Helicity Amplitudes wich Follow from Analyticity, Unitarity and Crossing Symmetry, Syracuse Preprint SU-1206-231, 1970 | MR

[7] A. K. Common, F. J. Yndurain, Constraints and Bounds on $\pi\pi\to N\overline{N}$ Partial Waves, Canterbury preprint U.K.C. AM/AKC/6, 1971 | Zbl

[8] G. Beitmen, A. Erdeii, Vysshie transtsendentnye funktsii, tom 2, «Nauka», 1966 | MR

[9] N. I. Akhiezer, Klassicheskaya problema momentov, Fizmatgiz, 1961

[10] A. I. Markushevich, Teoriya analiticheskikh funktsii, t. 1, «Nauka», 1967 | MR

[11] G. A. Baker, Jr., Adv. Theor. Phys., 1 (1965), 1

[12] G. Cohen-Tannoudji, A. Morel, H. Navelet, Ann. Phys., (N. Y.), 46 (1968), 239 | DOI

[13] G. Sege, Ortogonalnye mnogochleny, Fizmatgiz, 1962