scholarly journals Hörmander’s theorem for semilinear SPDEs

2019 ◽  
Vol 24 (0) ◽  
Author(s):  
Andris Gerasimovičs ◽  
Martin Hairer
Keyword(s):  
Hörmander's Theorem

Uncertainty principle related to Flensted–Jensen partial differential operators

2019 ◽  
pp. 2150004
Author(s):  
Raoudha Laffi ◽  
Selma Negzaoui
Keyword(s):  
Fourier Transform ◽  
Uncertainty Principle ◽  
Differential Operators ◽  
Generalized Fourier Transform ◽  
Partial Differential ◽  
Hardy’S Theorem ◽  
Partial Differential Operators ◽  
Hörmander's Theorem

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].

scholarly journals A proof of Hörmander’s theorem for sublaplacians on Carnot groups

2015 ◽  
Vol 126 ◽  
pp. 170-200 ◽  
Author(s):  
Marco Bramanti ◽  
Luca Brandolini
Keyword(s):  
Carnot Groups ◽  
Hörmander's Theorem
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