Bargmann transform, Zak transform, and coherent states
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Publication:3946625
DOI10.1063/1.525426zbMath0486.46027OpenAlexW2041093698MaRDI QIDQ3946625
Publication date: 1982
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://authors.library.caltech.edu/32191/
coherent statesGaussian integersZak transforminterpolation of entire functionsBargmann integral transformkq- representation
Integral transforms in distribution spaces (46F12) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Miscellaneous applications of functional analysis (46N99)
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Cites Work
- On a Hilbert space of analytic functions and an associated integral transform part I
- The inversion of the discrete gauss transform
- On a Hilbert Space of Analytie Functions and an Associated Integral Transform. Part II. A Family of Related Function Spaces Application to Distribution Theory
- Angle and Phase Coordinates in Quantum Mechanics
- The Behaviour of Integral Functions at the Lattice-Points
