Properties and application of a positive translation operatorfor (𝑘, 1)-Generalized Fourier transform

2021 ◽  
Vol 22 (4) ◽  
pp. 135-151
Author(s):  
Valerii Ivanovich Ivanov
2010 ◽  
Vol 2010 (01) ◽  
pp. P01005 ◽  
Author(s):  
Giacomo Bormetti ◽  
Valentina Cazzola ◽  
Giacomo Livan ◽  
Guido Montagna ◽  
Oreste Nicrosini

Author(s):  
Krzysztof Kazimierczuk ◽  
Maria Misiak ◽  
Jan Stanek ◽  
Anna Zawadzka-Kazimierczuk ◽  
Wiktor Koźmiński

Author(s):  
Raoudha Laffi ◽  
Selma Negzaoui

This paper deals with some formulations of the uncertainty principle associated to generalized Fourier transform [Formula: see text] related to Flensted–Jensen partial differential operators. The aim result is to prove the analogue of Bonami–Demange–Jaming’s theorem : A version of Beurling–Hörmander’s theorem which gives more precision in the form of nonzero functions verifying modified-Beurling’s condition. As application, we get analogous of Gelfand–Schilov’s theorem, Cowling–Price’s theorem and Hardy’s theorem for [Formula: see text].


2007 ◽  
Vol 23 (4) ◽  
pp. 1565-1597 ◽  
Author(s):  
Adrian Constantin ◽  
Vladimir S Gerdjikov ◽  
Rossen I Ivanov

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