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  1. Theoretical and Mathematical Physics
  2. Theoretical and Mathematical Physics : Volume 153
  3. Theoretical and Mathematical Physics : Volume 153, Issue 1, October 2007
  4. Star product algebras of test functions
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Theoretical and Mathematical Physics : Volume 191
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Theoretical and Mathematical Physics : Volume 181
Theoretical and Mathematical Physics : Volume 180
Theoretical and Mathematical Physics : Volume 179
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Theoretical and Mathematical Physics : Volume 177
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Theoretical and Mathematical Physics : Volume 174
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Theoretical and Mathematical Physics : Volume 169
Theoretical and Mathematical Physics : Volume 168
Theoretical and Mathematical Physics : Volume 167
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Theoretical and Mathematical Physics : Volume 161
Theoretical and Mathematical Physics : Volume 160
Theoretical and Mathematical Physics : Volume 159
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Theoretical and Mathematical Physics : Volume 157
Theoretical and Mathematical Physics : Volume 156
Theoretical and Mathematical Physics : Volume 155
Theoretical and Mathematical Physics : Volume 154
Theoretical and Mathematical Physics : Volume 153
Theoretical and Mathematical Physics : Volume 153, Issue 3, December 2007
Theoretical and Mathematical Physics : Volume 153, Issue 2, November 2007
Theoretical and Mathematical Physics : Volume 153, Issue 1, October 2007
Star product algebras of test functions
Dynamical principle
Model equation of the theory of solitons
Isoperiodic deformations of the acoustic operator and periodic solutions of the Harry Dym equation
Special polynomials and rational solutions of the hierarchy of the second Painlevé equation
Von Neumann-Wigner theorem: Level repulsion and degenerate eigenvalues
Potts model with competing interactions on the Cayley tree: The contour method
Interphase Hamiltonian and first-order phase transitions: A generalization of the Lee-Yang theorem
Correlation functions in the anomalous-dimension approximation for a multicomponent liquid
Energy and coherence loss rates in a one-dimensional vibrational system interacting with a bath
Theoretical and Mathematical Physics : Volume 152
Theoretical and Mathematical Physics : Volume 151
Theoretical and Mathematical Physics : Volume 150
Theoretical and Mathematical Physics : Volume 149
Theoretical and Mathematical Physics : Volume 148
Theoretical and Mathematical Physics : Volume 147
Theoretical and Mathematical Physics : Volume 146
Theoretical and Mathematical Physics : Volume 145
Theoretical and Mathematical Physics : Volume 144
Theoretical and Mathematical Physics : Volume 143
Theoretical and Mathematical Physics : Volume 142
Theoretical and Mathematical Physics : Volume 141
Theoretical and Mathematical Physics : Volume 140
Theoretical and Mathematical Physics : Volume 139
Theoretical and Mathematical Physics : Volume 138
Theoretical and Mathematical Physics : Volume 137
Theoretical and Mathematical Physics : Volume 136
Theoretical and Mathematical Physics : Volume 135
Theoretical and Mathematical Physics : Volume 134
Theoretical and Mathematical Physics : Volume 133
Theoretical and Mathematical Physics : Volume 132
Theoretical and Mathematical Physics : Volume 131
Theoretical and Mathematical Physics : Volume 130
Theoretical and Mathematical Physics : Volume 129
Theoretical and Mathematical Physics : Volume 128
Theoretical and Mathematical Physics : Volume 127
Theoretical and Mathematical Physics : Volume 126
Theoretical and Mathematical Physics : Volume 125
Theoretical and Mathematical Physics : Volume 124
Theoretical and Mathematical Physics : Volume 123
Theoretical and Mathematical Physics : Volume 122
Theoretical and Mathematical Physics : Volume 121
Theoretical and Mathematical Physics : Volume 120
Theoretical and Mathematical Physics : Volume 119
Theoretical and Mathematical Physics : Volume 118
Theoretical and Mathematical Physics : Volume 117
Theoretical and Mathematical Physics : Volume 116
Theoretical and Mathematical Physics : Volume 115
Theoretical and Mathematical Physics : Volume 114
Theoretical and Mathematical Physics : Volume 113
Theoretical and Mathematical Physics : Volume 112
Theoretical and Mathematical Physics : Volume 111
Theoretical and Mathematical Physics : Volume 110

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Star product algebras of test functions

Content Provider Springer Nature Link
Author Soloviev, M. A.
Copyright Year 2007
Abstract We prove that the Gelfand-Shilov spaces S α β are topological algebras under the Moyal *-product if and only if α ≥ β. These spaces of test functions can be used to construct a noncommutative field theory. The star product depends on the noncommutativity parameter continuously in their topology. We also prove that the series expansion of the Moyal product converges absolutely in S α β if and only if β < 1/2.
Starting Page 1351
Ending Page 1363
Page Count 13
File Format PDF
ISSN 00405779
Journal Theoretical and Mathematical Physics
Volume Number 153
Issue Number 1
e-ISSN 15739333
Language English
Publisher Springer US
Publisher Date 2007-01-01
Publisher Place Boston
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword noncommutative quantum field theory Moyal product topological *-algebra Gelfand-Shilov space Mathematical and Computational Physics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Statistical and Nonlinear Physics Mathematical Physics
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