By Faddeev L.D.

ISBN-10: 9810221983

ISBN-13: 9789810221980

ISBN-10: 9810221991

ISBN-13: 9789810221997

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

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Friedrichs, Mathematical aspects of the quantum theory of fields, Interscience, 1953 (reprinted from Comm. Pure Appl. Math. 4 (1951), 161-224; 5 (1952), 1-56, 349-411; 6 (1953), 1-72). 3. B. M. Levitan, Expansions in eigenfunctions of second-order differential equations, GITTL, Moscow, 1950. (Russian) 4. A. Ya. Povzner, a) On the expansion of arbitrary functions in eigenfunctions of the operator -Au + cu, Mat. Sb. 32 (74) (1953), 109-156; English transl. in Amer. Math. Soc. Transl. (2) 60 (1967).

I have already spoken above of the sad history with the "zero-charge*' paradox for the Yang-Mills theory. In sorting out the failures I should also mention errors in published articles. I know of three serious mistakes in my papers; fortunately, they all turned out to be correctible. 23,31, of the wave function for a three-particle system, I obtained Holder esti mates for them with different exponents of smoothness with respect to the variables ka and pa. Due to a misunderstanding it appeared to me that only the smoothness of each component in its own variable ka was needed for the subsequent work.

M. Levitan, Expansions in eigenfunctions of second-order differential equations, GITTL, Moscow, 1950. (Russian) 4. A. Ya. Povzner, a) On the expansion of arbitrary functions in eigenfunctions of the operator -Au + cu, Mat. Sb. 32 (74) (1953), 109-156; English transl. in Amer. Math. Soc. Transl. (2) 60 (1967). b) On expansions in functions that are solutions of a scattering problem, Dokl. Akad. Nauk SSSR 104 (1955), 360-363. (Russian) 27 30 YEARS IN MATHEMATICAL PHYSICS 27 5. Norman Levinson, On the uniqueness of the potential in a Schrodinger equation for a given asymptotic phase, Danske Vid.

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