DocumentCode
158207
Title
Gabor transformation on the circle
Author
Fujita, Kinya
Author_Institution
Dept. of Math., Univ. of Toyama, Toyama, Japan
fYear
2014
fDate
13-16 July 2014
Firstpage
122
Lastpage
126
Abstract
In [2] and [3], we considered the Gabor transform of analytic functionals on the sphere in general dimension and we expressed it by a series expansion with the spherical harmonics and the Bessel functions. In this paper, following our previous results, we will consider the Gabor transform of analytic functionals, especially of square integrable functions on the circle (2-dimensional sphere), in more detail. Then we will construct the inverse Gabor transformation explicitly.
Keywords
Bessel functions; Fourier transforms; geometry; integral equations; inverse transforms; series (mathematics); 2D sphere; Bessel functions; Fourier transform; analytic functionals; inverse Gabor transformation; series expansion; spherical harmonics; square integrable functions; Fourier transforms; Harmonic analysis; Pattern recognition; Polynomials; Wavelet analysis; Wavelet transforms; Gabor transformation; series expansion; spherical harmonics;
fLanguage
English
Publisher
ieee
Conference_Titel
Wavelet Analysis and Pattern Recognition (ICWAPR), 2014 International Conference on
Conference_Location
Lanzhou
ISSN
2158-5695
Print_ISBN
978-1-4799-4212-1
Type
conf
DOI
10.1109/ICWAPR.2014.6961302
Filename
6961302
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