By Faddeev L.D.

The behaviour of the analytic parts on an infraconnected set D in ok an algebraically closed whole ultrametric box is principally defined via 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 houses of the algebra of the analytic parts on D, difficulties of analytic extension. this is often utilized to the differential equation y'=hy (y,h analytic parts on D), analytic interpolation, p-adic team 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 crucial for Singular Lagrangians -- four. Covariant Quantization of the Gravitational box / V.N. Popov and L. Faddev -- five. advent to useful equipment -- 6. Inverse challenge of Quantum Scattering conception. II -- 7. Quantum thoroughly Integrable types in box thought -- 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 idea -- 10. From Integrable types to Conformal box idea through Quantum teams -- eleven. the quest for Multidimensional Solitons -- 12. Hamiltonian method of the speculation 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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There were also unfounded searches in mathematical directions. In the mid1960s I took a very active interest in the Kirillov-Kostant method of orbits for constructing irreducible representations of Lie groups as quantization of symplectic homogeneous spaces. The possibility of developing an invariant quantization procedure on nonlinear manifolds was very attractive. As a nontrivial example I chose strange series of representations of real semisimple Lie groups. However, V. L. Kalinin, a graduate student who had done nice diploma work on a proof of the Selberg trace formula and to whom I gave this problem as a dissertation topic, went to it with aversion and expended all his powers for a proof that it was hopeless.

B79 (1974), 276284. 39. A. M. Polyakov, Particle spectrum in quantum field theory, Pis'ma v Zh. Eksper. Teoret. Fiz. 20 (1974), 430-433; English transl. in JETP Letters 20 (1974). 40. D. R. Yafaev, On the singular spectrum in a three-particle system, Mat. Sb. 106 (148) (1978), 622-640; English transl. in Math. USSR Sb. 35 (1979), no. 2. 41. V. A. , Birkhauser, 1986. 42. P. Deift and E. Trubowitz, Inverse scattering on the line, Comm. Pure Appl. Math. 32 (1979), 121-251. 43. Roger F. Dashen, Brosl Hasslacher, and Andre Neveu, Particle spectrum in model field theories from semidlassical functional integral techniques, Phys.

3, IL, Moscow, 1955. (Russian) 17. Julian Schwinger, The theory of quantized fields, I-VI, Phys. Rev. (2) 82 (1951), 914-927; 0 1 (1953), 713-728, 728-740; 92 (1953), 1283-1299; 93 (1954), 615-628; 94 (1954), 1362-1384. 18. * D. D. Ivanenko (editor), Elementary particles and compensating fields, "Mir", Moscow, 1964. (Russian) 19. Andre- Lichnerowicz, Theories relativistes de la gravitation et de Velectromagnitisme. R&ativit" ginirale et thiories unitaires, Masson, Paris, 1955. 20 , Theorie globale des connexions et des groupee d'holonomie, Edizioni Cremonese, Rome, 1957.