## Continuity statements and counterintuitive examples in connection with Weyl quantization

Publication
, Journal Article

Daubechies, I

Published in: Journal of Mathematical Physics

January 1, 1982

We use the properties of an integral transform relating a classical function f with the matrix elements between coherent states of its quantal counterpart Q f, to derive continuity properties of the Weyl transform from classes of distributions to classes of quadratic forms. We also give examples of pathological behavior of the Weyl transform with respect to other topologies (e.g., bounded functions leading to unbounded operators). © 1983 American Institute of Physics.

### Duke Scholars

## Published In

Journal of Mathematical Physics

## DOI

## ISSN

0022-2488

## Publication Date

January 1, 1982

## Volume

24

## Issue

6

## Start / End Page

1453 / 1461

## Related Subject Headings

- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences

### Citation

APA

Chicago

ICMJE

MLA

NLM

Daubechies, I. (1982). Continuity statements and counterintuitive examples in connection with Weyl quantization.

*Journal of Mathematical Physics*,*24*(6), 1453–1461. https://doi.org/10.1063/1.525882Daubechies, I. “Continuity statements and counterintuitive examples in connection with Weyl quantization.”

*Journal of Mathematical Physics*24, no. 6 (January 1, 1982): 1453–61. https://doi.org/10.1063/1.525882.Daubechies I. Continuity statements and counterintuitive examples in connection with Weyl quantization. Journal of Mathematical Physics. 1982 Jan 1;24(6):1453–61.

Daubechies, I. “Continuity statements and counterintuitive examples in connection with Weyl quantization.”

*Journal of Mathematical Physics*, vol. 24, no. 6, Jan. 1982, pp. 1453–61.*Scopus*, doi:10.1063/1.525882.Daubechies I. Continuity statements and counterintuitive examples in connection with Weyl quantization. Journal of Mathematical Physics. 1982 Jan 1;24(6):1453–1461.

## Published In

Journal of Mathematical Physics

## DOI

## ISSN

0022-2488

## Publication Date

January 1, 1982

## Volume

24

## Issue

6

## Start / End Page

1453 / 1461

## Related Subject Headings

- Mathematical Physics
- 51 Physical sciences
- 49 Mathematical sciences
- 02 Physical Sciences
- 01 Mathematical Sciences