Gaussian transform of the Weil representation
arXiv:math-ph/0601029
Abstract
A description is given of the image of the Weil representation of the symplectic group in the Schwartz space and in the space of tempered distributions under the Gaussian integral transform. We also discuss the problem of infinite dimensional generalization of the Weil representation in the Schwartz space, in order to construct appropriate quantization of free scalar field.
arXiv comment21 pages
References in corpus (4)
Cited by in corpus (5)
- Generalized Schrodinger equation for free field
- Maslov's complex germ and the Weyl--Moyal algebra in quantum mechanics and in quantum field theory
- A new mathematical problem related to quantization of fields
- An attempt to construct dynamical evolution in quantum field theory
- Infinite dimensional analog of the Weil representation in the space of distributions