# Heisenberg Uncertainty Principles for the Dunkl Multipier Operators

## Abstract

We prove a Heisenberg type and a Heisenberg–Pauli–Weyl type inequalities for a class of Dunkl multipier operators. The constants in the main inequalities are sharp, and the results are confirmed by examples.

- Authors:

- Jazan University (Saudi Arabia)

- Publication Date:

- OSTI Identifier:
- 22771579

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Mathematical Sciences

- Additional Journal Information:
- Journal Volume: 228; Journal Issue: 6; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 97 MATHEMATICAL METHODS AND COMPUTING; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; MATHEMATICAL OPERATORS; QUANTUM MECHANICS; UNCERTAINTY PRINCIPLE

### Citation Formats

```
Soltani, F., E-mail: asoltani@jazanu.edu.sa, and Rejeb, S. B., E-mail: benrejebslim@yahoo.fr.
```*Heisenberg Uncertainty Principles for the Dunkl Multipier Operators*. United States: N. p., 2018.
Web. doi:10.1007/S10958-017-3657-0.

```
Soltani, F., E-mail: asoltani@jazanu.edu.sa, & Rejeb, S. B., E-mail: benrejebslim@yahoo.fr.
```*Heisenberg Uncertainty Principles for the Dunkl Multipier Operators*. United States. doi:10.1007/S10958-017-3657-0.

```
Soltani, F., E-mail: asoltani@jazanu.edu.sa, and Rejeb, S. B., E-mail: benrejebslim@yahoo.fr. Thu .
"Heisenberg Uncertainty Principles for the Dunkl Multipier Operators". United States. doi:10.1007/S10958-017-3657-0.
```

```
@article{osti_22771579,
```

title = {Heisenberg Uncertainty Principles for the Dunkl Multipier Operators},

author = {Soltani, F., E-mail: asoltani@jazanu.edu.sa and Rejeb, S. B., E-mail: benrejebslim@yahoo.fr},

abstractNote = {We prove a Heisenberg type and a Heisenberg–Pauli–Weyl type inequalities for a class of Dunkl multipier operators. The constants in the main inequalities are sharp, and the results are confirmed by examples.},

doi = {10.1007/S10958-017-3657-0},

journal = {Journal of Mathematical Sciences},

issn = {1072-3374},

number = 6,

volume = 228,

place = {United States},

year = {2018},

month = {2}

}

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