Antonets, M. A.; Shereshevskij, I. A. Weyl quantization on compact Abelian groups and quantum mechanics of almost periodic systems. (English. Russian original) Zbl 0471.43008 Theor. Math. Phys. 48, 597-604 (1982); translation from Teor. Mat. Fiz. 48, 49-59 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 43A99 Abstract harmonic analysis 81S99 General quantum mechanics and problems of quantization Keywords:almost periodic systems; compact connected abelian groups; Weyl quantization PDF BibTeX XML Cite \textit{M. A. Antonets} and \textit{I. A. Shereshevskij}, Theor. Math. Phys. 48, 597--604 (1981; Zbl 0471.43008); translation from Teor. Mat. Fiz. 48, 49--59 (1981) Full Text: DOI References: [1] J. M. Ziman, Principles of the Theory of Solids, C. U. P., Cambridge (1964). · Zbl 0121.44801 [2] E. Hewitt and K. A. Ross, Abstract Harmonic Analysis, Vol. 1, Springer, Berlin (1963). · Zbl 0115.10603 [3] F. A. Berezin, ?Quantization,? Izv. Akad. Nauk SSSR Ser. Mat.,38, 1116 (1974). [4] M. A. Shubin, ?Almost periodic functions and differential operators with partial derivatives,? Usp. Mat. Nauk,33, 3 (1979). · Zbl 0448.47032 [5] M. A. Shubin, ?Spectral theory and the index of elliptic operators with almost periodic coefficients,? Usp. Mat. Nauk,34, 95 (1979). · Zbl 0448.47032 [6] I. A. Shereshevski, Lett. Math. Phys. (in print). [7] Y. Y. Slawianowski, ?Abelian groups and the Weyl approach to kinematics. Nonlocal function-algebras,? Rep. Math. Phys.,5, 259 (1974). · Zbl 0306.43007 · doi:10.1016/0034-4877(74)90037-8 [8] V. V. Zhikov and B. M. Levitan, Almost Periodic Functions and Differential Equations [in Russian], MGU, Moscow (1978). · Zbl 0414.43008 [9] F. Bayen, M. Flato, C. Fronsdal, A. Lichnerowicz, and D. Sternheimer, ?Deformation theory and quantization,? Ann. Phys. (N. Y.),111, 61 (1979). · Zbl 0377.53024 · doi:10.1016/0003-4916(78)90224-5 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.