
1. Some previously discussed results (brief reminder). 1a. Cauchy forms in hyperlayers for a polynomially bounded meromorphic function of two complex variables. 1b. Bootstrap conditions of the first and second kind. Examples for the stringlike (Lovelace) amplitude. 1c. Bootstrap conditions and the constructive fieldtheoretic form of Veneziano's duality hypothesis. 2. How to assign meaning to the treelevel approximation of the extended perturbation scheme of effective scattering theory of strongly interacting scalar particles: 2a. The reduction procedure and classification of Smatrix parameters. 2b. The system of Feynman rules in terms of treelevel minimal parameters. 2c. Pole structure of the treelevel amplitude of binary scattering process. 2d. Two basic principles: summability and uniformity. Cauchy forms for the treelevel 4leg amplitude in three intersecting hyperlayers. 3. Bootstrap conditions and renormalization prescriptions fixing the 4leg treelevel minimal vertex. 4. Additional constrains for the allowed set of renormalization prescriptions that fix 3leg minimal treelevel vertices. 5. Numerical tests of sum rules that follow from the bootstrap system. 5a. Numerical test in a toy bootstrap model for stringlike amplitude. 5b. Numerical test of sum rules for pionnucleon spectrum parameters
