Uncertainty principles of Heisenberg type for the Bargmann transform

2021 ◽  
Author(s):  
Fethi Soltani
Keyword(s):  
Uncertainty Principles ◽  
Bargmann Transform ◽  
Heisenberg Type

A variety of uncertainty principles for the Dunkl transform on ℝd

2020 ◽  
pp. 2150077
Author(s):  
Fethi Soltani
Keyword(s):  
Dunkl Transform ◽  
Uncertainty Principles ◽  
Local Type ◽  
Heisenberg Type ◽  
Uncertainty Inequalities

In this work, we prove Clarkson-type and Nash-type inequalities in the Dunkl setting on [Formula: see text] for [Formula: see text]-functions. By combining these inequalities, we show Heisenberg-type inequalities for the Dunkl transform on [Formula: see text], and we deduce local-type uncertainty inequalities for the Dunkl transform on [Formula: see text].

scholarly journals Uncertainty Principles for the Dunkl-Wigner Transforms

2016 ◽  
Vol 2016 ◽  
pp. 1-7
Author(s):  
Fethi Soltani
Keyword(s):  
Uncertainty Principle ◽  
Uncertainty Principles ◽  
Wigner Transform ◽  
Heisenberg Type ◽  
Local Uncertainty Principle ◽  
Local Uncertainty

We prove a version of Heisenberg-type uncertainty principle for the Dunkl-Wigner transform of magnitude s>0; and we deduce a local uncertainty principle for this transform.

scholarly journals Segal–Bargmann transform and Paley–Wiener theorems on Heisenberg motion groups

2015 ◽  
Vol 0 (0) ◽  
Author(s):  
Suparna Sen
Keyword(s):  
Bargmann Transform ◽  
Motion Groups

AbstractWe consider the Heisenberg motion groups ℍ𝕄 = ℍ

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