Paley‐Wiener‐Type theorems for the Clifford‐Fourier transform

2019 ◽  
Vol 42 (18) ◽  
pp. 6101-6113 ◽  
Author(s):  
Shanshan Li ◽  
Jinsong Leng ◽  
Minggang Fei
Keyword(s):  
Fourier Transform ◽  
Clifford Fourier Transform ◽  
Wiener Type

GENERALIZED PALEY–WIENER THEOREMS

2012 ◽  
Vol 10 (02) ◽  
pp. 1250020 ◽  
Author(s):  
QIUHUI CHEN ◽  
LUOQING LI ◽  
GUANGBIN REN
Keyword(s):  
Fourier Transform ◽  
Boundary Value ◽  
Integral Kernel ◽  
Real Variable ◽  
Transient Signals ◽  
Extension Theorems ◽  
Möbius Transform ◽  
Wiener Type

Non-harmonic Fourier transform is useful for the analysis of transient signals, where the integral kernel is from the boundary value of Möbius transform. In this note, we study the Paley–Wiener type extension theorems for the non-harmonic Fourier transform. Two extension theorems are established by using real variable techniques.

scholarly journals The kernel of the generalized Clifford-Fourier transform and its generating function

2016 ◽  
Vol 62 (2) ◽  
pp. 214-229 ◽  
Author(s):  
Pan Lian ◽  
Gejun Bao ◽  
Hendrik De Bie ◽  
Denis Constales
Keyword(s):  
Fourier Transform ◽  
Generating Function ◽  
Clifford Fourier Transform

Sparse fast Clifford Fourier transform

2017 ◽  
Vol 18 (8) ◽  
pp. 1131-1141 ◽  
Author(s):  
Rui Wang ◽  
Yi-xuan Zhou ◽  
Yan-liang Jin ◽  
Wen-ming Cao
Keyword(s):  
Fourier Transform ◽  
Clifford Fourier Transform

Real Paley-Wiener theorems for the Clifford Fourier transform

2014 ◽  
Vol 57 (11) ◽  
pp. 2381-2392 ◽  
Author(s):  
YingXiong Fu ◽  
LuoQing Li
Keyword(s):  
Fourier Transform ◽  
Clifford Fourier Transform

Clifford-Fourier transform on hyperbolic space

2016 ◽  
Vol 40 (10) ◽  
pp. 3666-3675
Author(s):  
Pan Lian ◽  
Gejun Bao ◽  
Hendrik De Bie ◽  
Denis Constales
Keyword(s):  
Fourier Transform ◽  
Hyperbolic Space ◽  
Clifford Fourier Transform
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