Abelian groups and the Weyl approach to kinematics. Nonlocal function- algebras

DOI10.1016/0034-4877(74)90037-8zbMath0306.43007OpenAlexW2000196110MaRDI QIDQ1217970

Jan Jerzy Sławianowski

Publication date: 1974

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(74)90037-8

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Duality theorems for locally compact groups (22D35) Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc. (43A30) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25) Group algebras of locally compact groups (22D15) Measure algebras on groups, semigroups, etc. (43A10) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items

Weyl quantization on compact Abelian groups and quantum mechanics of almost periodic systems ⋮ Deformable gyroscope in a non-Euclidean space classical, nonrelativistic theory ⋮ Translation-invariant quantizations and algebraic structures on phase space

Cites Work

• Twisted group algebras I, II
• On unitary ray representations of continuous groups
• Calculus for Functions of Noncommuting Operators and General Phase-Space Methods in Quantum Mechanics. I. Mapping Theorems and Ordering of Functions of Noncommuting Operators
• On a theorem of Mackey, Stone and v. Neumann
• Structure Theorems for a Special Class of Banach Algebras
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