THE ALGEBRA OF WEYL SYMBOLS AND THE CAUCHY PROBLEM FOR REGULAR SYMBOLS

DOI10.1070/SM1979v035n03ABEH001484zbMath0418.46061OpenAlexW1974449830MaRDI QIDQ3851145

M. A. Antonets

Publication date: 1979

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1979v035n03abeh001484

zbMATH Keywords

exponential functionCauchy problemgeneralized functionsSchwartz spacealgebra of Weyl symbolsregular symbols

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99) Initial value problems for PDEs with pseudodifferential operators (35S10) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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Representation of a quantum particle with \(\text{spin}1/2\) by means of the Moyal product and a flat symplectic supermanifold ⋮ Twisted convolution and Moyal star product of generalized functions ⋮ Problems of mathematical physics and function theory. Transl. from the Russian

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