By Faddeev L.D.

The behaviour of the analytic components on an infraconnected set D in okay an algebraically closed entire ultrametric box is especially defined through the round filters and the monotonous filters on D, particularly the T-filters: zeros of the weather, Mittag-Leffler sequence, factorization, Motzkin factorization, greatest precept, injectivity, algebraic homes of the algebra of the analytic components on D, difficulties of analytic extension. this can be utilized to the differential equation y'=hy (y,h analytic parts on D), analytic interpolation, p-adic staff duality on meromorphic items and to the p-adic Fourier rework 1. 30 Years in Mathematical Physics -- 2. Perturbation thought for Gauge-Invariant Fields / V.N. Popov and L. Faddev -- three. The Feynman critical for Singular Lagrangians -- four. Covariant Quantization of the Gravitational box / V.N. Popov and L. Faddev -- five. advent to practical tools -- 6. Inverse challenge of Quantum Scattering idea. II -- 7. Quantum thoroughly Integrable types in box idea -- eight. The Quantum approach to the Inverse challenge and the Heisenberg XYZ version / L.A. Takhtadzhan and L. Faddev -- nine. Integrable versions in (1+1)-Dimensional Quantum box concept -- 10. From Integrable types to Conformal box concept through Quantum teams -- eleven. the hunt for Multidimensional Solitons -- 12. Hamiltonian method of the idea of Anomalies -- thirteen. The power challenge in Einstein's conception of Gravitation -- 14. Lagrangian Mechanics in Invariant shape / A.M. Vershik and L. Faddev

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Kreln, On the determination of the potential of a particle from its S-funciion, Dokl. Akad. Nauk SSSR 105 (1955), 433-436. (Russian) 9. I. Kay and H. E. Moses, The determination of the scattering potential from the spectral measure function. I, II, m , Nuovo Cimento (10) 2 (1955), 917-961; (10) 3 (1956), 66-84, 277-304. 10. H. Ekstein, Theory of time-dependent scattering for multichannel processes, Phys. Rev. (2) 101 (1956), 880-890. 11. K. O. Friedrichs, On the perturbation of continuous spectra, Comm.

Ann. Phys. 15, 437, (1961). ( Phys. Rev. 101, 1957, (1956). "Garrod, C, Rev. Mod. Phys. 38, 483, (1966). 12 Matthews, P. , Relativistic Quantum Theory of the Interactions of the Elemen tary Particles, Russian translation (1959). , The Theory of Space, Time and Gravitation, issued by the State Publishing Department, Moscow, 1955 (in Russian). 52 THE FEYNMAN INTEGRAL FOR SINGULAR LAGRANGIANS L. D. F a d d e e v A generalization is obtained for the continual Feynman integral, adapted for the quantization of a mechanical system describable by a singular Lagrangian.

Pavlov, P. P. Kulish, and S. P. Merkur'ev, now over forty, the younger A. V. Venkov, I. Ya. Arefeva, M. M. Skriganov, V. V. Matveev, L. A. Takhtadzhyan, M. A. SemenovTyan-Shanskii, A. G. Relman, and V. E. Korepin, and the scientific youths E. K. Sklyanin, F. A. Smirnov, N. Yu. Reshetikhin, V. O. Tarasov, and S. L. Shatashvili make up a group to be proud of. My association and joint work with them constitute the basic substance of my present scientific life. BIBLIOGRAPHY 1. V. A. Fok [Fock], Foundations of quantum mechanics, Izdat.