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- Quantum harmonic analysis on locally compact groups
On a locally compact group we introduce covariant quantization schemes and analogs of phase space representations as well as mixed-state localization operators These generalize corresponding notions for the affine group and the Heisenberg group
- Quantum Harmonic Analysis on locally compact abelian groups
We extend the notions of quantum harmonic analysis, as introduced in R Werner’s paper from 1984 (J Math Phys 25(5)), to abelian phase spaces, by which we mean a locally compact abelian group endowed with a Heisenberg multiplier
- Quantum Harmonic Analysis on Locally Compact Abelian Groups
We extend the notions of quantum harmonic analysis, as introduced in R Werner’s paper from 1984 (J Math Phys 25 (5):1404–1411), to abelian phase spaces, by which we mean a locally compact abelian group endowed with a Heisenberg multiplier
- Quantum harmonic analysis on locally compact groups
On a locally compact group we introduce covariant quantization schemes and analogs of phase space representations as well as mixed-state localization operators These generalize corresponding
- Aspects of Harmonic Analysis on Locally Compact Abelian Groups
Starting with the basics of measure theory and integration, this book delves into the harmonic analysis of locally compact abelian groups It provides an in-depth tour of the beautiful theory of the Fourier transform based on the results of Gelfand, Pontrjagin, and Andre Weil in a manner accessible to an undergraduate student who has taken
- 121 EXERCISES ON LOCALLY COMPACT ABELIAN GROUPS: AN INVITATION TO . . .
This is a collection of challenging exercises designed to motivate interested students of general topology to con-template Pontryagin duality and the structure of locally compact abelian groups The idea is to use the topology background students have acquired as a jumping off point to the study of (abstract) harmonic analysis
- Quantum harmonic analysis on locally compact groups
On a locally compact group we introduce covariant quantization schemes and analogs of phase space representations as well as mixed-state localization operators These generalize corresponding notions for the affine group and the Heisenberg group
- Non-Commutative Harmonic Analysis on Compact Groups
This section on locally compact Abelian groups is brief and only to elucidate the importance of duality in harmonic analysis and provide parallels when we examing the non-Abelian case
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