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- W1997415043 abstract "We consider the multiperipheral integral equation at vanishing four-momentum transfer in the form given by Chew and de Tar and we remark that the angular integrations can be interpreted as a convolution of measures defined in a semi-group S contained in the Lorentz group. We study the geometrical properties and a class Banach-space representations of this semi-group. By projection on these representations, we perform a partial wave analysis of the multiperipheral equation. Under some physically very natural conditions, we prove that the projection integrals converge, the partial wave amplitudes are analytic in a half-plane of the complex angular momentum and the kernel of the partial wave equation represents a bounded operator. We give a preliminary discussion of the inversion problem, i.e., of the construction of the amplitude from its partial wave projections." @default.
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- W1997415043 date "1973-02-01" @default.
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- W1997415043 title "Semi-group approach to multiperipheral dynamics" @default.
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- W1997415043 doi "https://doi.org/10.1016/0550-3213(73)90451-3" @default.
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