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Title: 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:
;  [1]
  1. 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}
}