| Version 7 |
Version 6 |
| The Bargmann-Fock space is the Hilbert space of entire functions, $F^2(\mathbb{C})$ s.t. |
The Bargmann-Fock space is the Hilbert space of entire functions, $F^2(\mathbb{C})$ s.t. |
| $$ \int_\mathbb{C}|F(z)|^2 e^{- \pi |z|^2}dx dy<\infty$$ |
$$ \int_\mathbb{C}|F(z)|^2 e^{- \pi |z|^2}dx dy<\infty$$ |
| with associated inner product |
with associated inner product |
| $$ \int_\mathbb{C}F(z)\overline{G(z)}e^{- \pi |z|^2}dx dy$$ |
$$ \int_\mathbb{C}F(z)\overline{G(z)}e^{- \pi |z|^2}dx dy$$ |
|
|
| where $z=x+i y$ |
where $z=x+i y$ |
