## On the distributions corresponding to bounded operators in the Weyl quantization

Publication
, Journal Article

Daubechies, I

Published in: Communications in Mathematical Physics

October 1, 1980

Using properties of an integral transform giving directly the matrix elements of a quantum mechanical operator from the corresponding classical function, we restrict the class of distributions corresponding to bounded operators. As a consequence, we can exhibit a class of functions yielding trace-class operators, and give a bound on their trace-norm. © 1980 Springer-Verlag.

### Duke Scholars

## Published In

Communications in Mathematical Physics

## DOI

## EISSN

1432-0916

## ISSN

0010-3616

## Publication Date

October 1, 1980

## Volume

75

## Issue

3

## Start / End Page

229 / 238

## Related Subject Headings

- Mathematical Physics
- 5107 Particle and high energy physics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics

### Citation

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ICMJE

MLA

NLM

Daubechies, I. (1980). On the distributions corresponding to bounded operators in the Weyl quantization.

*Communications in Mathematical Physics*,*75*(3), 229–238. https://doi.org/10.1007/BF01212710Daubechies, I. “On the distributions corresponding to bounded operators in the Weyl quantization.”

*Communications in Mathematical Physics*75, no. 3 (October 1, 1980): 229–38. https://doi.org/10.1007/BF01212710.Daubechies I. On the distributions corresponding to bounded operators in the Weyl quantization. Communications in Mathematical Physics. 1980 Oct 1;75(3):229–38.

Daubechies, I. “On the distributions corresponding to bounded operators in the Weyl quantization.”

*Communications in Mathematical Physics*, vol. 75, no. 3, Oct. 1980, pp. 229–38.*Scopus*, doi:10.1007/BF01212710.Daubechies I. On the distributions corresponding to bounded operators in the Weyl quantization. Communications in Mathematical Physics. 1980 Oct 1;75(3):229–238.

## Published In

Communications in Mathematical Physics

## DOI

## EISSN

1432-0916

## ISSN

0010-3616

## Publication Date

October 1, 1980

## Volume

75

## Issue

3

## Start / End Page

229 / 238

## Related Subject Headings

- Mathematical Physics
- 5107 Particle and high energy physics
- 4904 Pure mathematics
- 4902 Mathematical physics
- 0206 Quantum Physics
- 0105 Mathematical Physics
- 0101 Pure Mathematics