# An integral transform related to quantization

Journal Article (Journal Article)

We study in some detail the correspondence between a function f on phase space and the matrix elements (Qf)(a, b) of its quantized Q f between the coherent states |a< and |b<. It is an integral transform: Qf(a, b) = ∫{a, b |v} f(v) dv which resembles in many ways the integral transform of Bargmann. We obtain the matrix elements of Q f between harmonic oscillator states as the Fourier coefficients of f with respect to an explicit orthonormal system. © 1980 American Institute of Physics.

### Full Text

### Duke Authors

### Cited Authors

- Daubechies, I; Grossmann, A

### Published Date

- January 1, 1979

### Published In

### Volume / Issue

- 21 / 8

### Start / End Page

- 2080 - 2090

### International Standard Serial Number (ISSN)

- 0022-2488

### Digital Object Identifier (DOI)

- 10.1063/1.524702

### Citation Source

- Scopus