Abstract
White noise distribution theory over the complex Gaussian space is established on the basis of the recently developed white noise operator theory. Unitarity condition for a white noise operator is discussed by means of the operator symbol and complex Gaussian integration. Concerning the overcompleteness of the exponential vectors, a coherent state representation of a white noise function is uniquely specified from the diagonal coherent state representation of the associated multiplication operator.
| Original language | English |
|---|---|
| Pages (from-to) | 297-309 |
| Number of pages | 13 |
| Journal | Journal of the Korean Mathematical Society |
| Volume | 38 |
| Issue number | 2 |
| Publication status | Published - 2001 |
Keywords
- Coherent state representation
- Fock Space
- Operator symbol
- Quantum stochastic differential equation
- Unitarity condition
- White noise